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A Theory of Branched Immersions of Surfaces
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Regularity of Minimizing Surfaces of Prescribed Mean Curvature
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On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations
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The number of branch points of surfaces of bounded mean curvature
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The convex hull property of immersed manifolds
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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The Regularity of Parametrized Integer Stationary Varifolds in Two Dimensions
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Free boundary problems for minimal surfaces and related questions
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New Brief Proofs of the Gulliver–Osserman–Royden Theorem
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Local Theory of Bendings of Surfaces
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Boundary Value Problems for Minimal Surfaces
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Harmonic maps into symmetric spaces and integrable systems
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Some Aspects of Harmonic Maps from a Surface to Complex Projective Space
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Quasilinear Elliptic Systems in Diagonal Form
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On boundary branch points of minimizing surfaces
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The plateau problem for symmetric surfaces
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Maximum principles for minimal surfaces and for surfaces of continuous mean curvature
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Geometric properties of minimal surfaces with free boundaries
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On false branch points of incompressible branched immersions
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The uniqueness for minimal surfaces inS 3
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The non-existence of branch points in solutions to certain classes of plateau type variational problems
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On interior branch points of minimal surfaces
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Weierstrass formula for surfaces of prescribed mean curvature
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Heat flow for the equation of surfaces with prescribed mean curvature
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Branch points of conformal mappings of surfaces
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Some results on finiteness in Plateau's problem, part I
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Harmonic maps and harmonic morphisms
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Classical area minimizing surfaces with real-analytic boundaries
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Some global theorems on non-complete surfaces
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A survey of the geometric results in the classical theory of minimal surfaces
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Complex points of minimal surfaces in almost Kähler manifolds
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Cartan spinors, minimal surfaces and strings
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Minimal branched immersions into three-manifolds
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Twistor constructions for harmonic maps
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The set of curves of uniqueness for Plateau's problem has a dense interior
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Parametric surfaces of prescribed mean curvature
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Heat-flow methods for harmonic maps of surfaces and applications to free boundary problems
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Some comments on spacelike minimal surfaces with null polygonal boundaries in AdS m
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On stability of stationary hypersurfaces for the partitioning problem for balls in space forms
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Some Classes of Frontals and Its Representation Formulas
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An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane
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Isovolumetric and Isoperimetric Problems for a Class of Capillarity Functionals
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Branch points of area-minimizing projective planes and a question of Courant
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Teichmüller harmonic map flow from cylinders
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Parametric surfaces of least H -energy in a Riemannian manifold
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Filtrations, Factorizations and Explicit Formulae for Harmonic Maps
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On the negativity of higher order derivatives of Dirichlet’s energy in plateau’s problem
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On the heat flow of equation of surfaces of constant mean curvatures
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Construction of embedded area-minimizing surfaces via a topological type induction scheme
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Absolute uniqueness of minimal surfaces bounded by contours with a one-to-one projection onto a plane
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Analysis of boundary bubbles for almost minimal cylinders
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Bubbles with constant mean curvature, and almost constant mean curvature, in the hyperbolic space
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A method to exclude branch points of minimal surfaces
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Harmonic maps and shift-invariant subspaces
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Diagrams and harmonic maps, revisited
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On branched minimal immersions of surfaces by first eigenfunctions
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Branched immersions and braids
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Holomorphic Curves and Toda Systems.
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Energy identity of the heat flow of H-systems at finite singular time
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On the nonexistence of boundary branch points for minimal surfaces spanning smooth contours II
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On Deformable Minimal Hypersurfaces in Space Forms
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A Factorization Theorem for Harmonic Maps
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Pointwise Expansion of Degenerating Immersions of Finite Total Curvature
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Harmonic maps from surfaces to complex projective spaces
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Complex and quaternionic analyticity in chiral and gauge theories, I
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The classical plateau problem and the topology of three-dimensional manifolds
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Non-linear σ-models on spheres and Toda systems
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Asymptotics of the Teichmüller harmonic map flow
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Bubbles with prescribed mean curvature: The variational approach
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Conformal immersions of prescribed mean curvature in R3
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The Dirichlet problem for harmonic maps from the disk into the euclidean n-sphere
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Riemannian Submanifolds
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Entropy, minimal surfaces and negatively curved manifolds
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Globally subanalytic CMC surfaces in ℝ3 with singularities
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On Minimizing Problems with a Volume Constraint in Hyperbolic 3-Manifolds
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TWISTORS AND $ G$-STRUCTURES
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Twistor spaces and harmonic maps
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The existence of minimal immersions of two-spheres
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A characterization of the Lagrangian pseudosphere
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Topology of three-manifolds with positive 𝑃-scalar curvature
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Bumpy metrics and closed parametrized minimal surfaces in Riemannian manifolds
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Minimal Immersions of Closed Riemann Surfaces
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Harmonically immersed surfaces of 𝑅ⁿ
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Minimal immersions of compact bordered Riemann surfaces with free boundary
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Boundary regularity and embedded solutions for the oriented Plateau problem
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On Plateau's problem for minimal surfaces of higher genus in ${\mathbf{R}}^3 $
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Harmonic Morphisms Between Riemannian Manifolds
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LONDON MATHEMATICAL SOCIETY MONOGRAPHS NEW SERIES
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Copyright Page
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Introduction
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Complex-valued harmonic morphisms on three-dimensional Euclidean space
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Riemannian manifolds and conformality
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Harmonic mappings between Riemannian manifolds
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Fundamental properties of harmonic morphisms
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Harmonic morphisms defined by polynomials
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Mini-twistor theory on three-dimensional space forms
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Twistor methods
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Holomorphic harmonic morphisms
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Multivalued harmonic morphisms
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Harmonic morphisms from compact 3-manifolds
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Curvature considerations
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Harmonic morphisms with one-dimensional fibres
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Reduction techniques
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Harmonic morphisms between semi-Riemannian manifolds
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The Branch Set of Minimal Disks in Metric Spaces
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Dirac Eigenvalue Optimisation and Harmonic Maps to Complex Projective Spaces
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Isoperimetric Inequalities for Higher Eigenvalues of the Laplace—Beltrami Operator on Surfaces
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HARMONIC MORPHISMS FROM EINSTEIN 4-MANIFOLDS TO RIEMANN SURFACES
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SINGULARITY KNOTS OF MINIMAL SURFACES IN ℝ4
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INFINITESIMAL DEFORMATIONS OF HARMONIC MAPS AND MORPHISMS
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Flowing maps to minimal surfaces
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Global weak solutions of the Teichmüller harmonic map flow into general targets
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Branched immersions onto compact orientable surfaces
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Branched immersions between 2-manifolds of higher topological type
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Finiteness of the ramified set for branched immersions of surfaces
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The 6πtheorem about minimal surfaces
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Comparison surfaces for the Willmore problem
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Nondegeneracy of coverings of minimal tori and Klein bottles in Riemannian manifolds
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Nonexistence results and convex hull property for maximal surfaces in Minkowski three-space
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Codazzi surfaces in 4-manifolds
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Examples of Unknotted Curves Which Bound Only Surfaces of High Genus Within Their Convex Hulls
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Harmonically Immersed Surfaces of R n
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Cross ratios, Anosov representations and the energy functional on Teichmüller space
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Pseudo-immersions superminimales d'une surface de Riemann dans une variété riemannienne de dimension 4
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Weierstrass representation for minimal surfaces in hyperbolic space
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Jacobi fields along harmonic 2-spheres in 3- and 4-spheres are not all integrable
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Multiply connected minimal surfaces and the geometric annulus theorem
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The Riemann-Hurwitz relation, parallel slit covering map, and continuation of an open Riemann surface of finite genus
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A remark on free boundary plateau problem for surfaces of general topological type
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The dimension and structure of the space of harmonic 2-spheres in the m-sphere
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Cyclic surfaces and Hitchin components in rank 2
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Łojasiewicz inequalities for almost harmonic maps near simple bubble trees
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Existence of isovolumetric $\mathbb S^2$-type stationary surfaces for capillarity functionals
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Some Recent Developments on Isometric Immersions via Compensated Compactness and Gauge Transforms
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Изопериметрические неравенства для высших собственных значений оператора Лапласа-Бельтрами на поверхностях
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Removability of singular points on surfaces of bounded mean curvature
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The Gauss map of surfaces in $\mathbf{R}^n$
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A duality theorem for Willmore surfaces
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Minimal surfaces in a Kähler surface
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The deformation of Lagrangian minimal surfaces in Kähler-Einstein surfaces
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An isoperimetric inequality for Laplace eigenvalues on the sphere
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Jacobi fields along harmonic 2-spheres in $S^3$ and $S^4$ are not all integrable
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Filtrations, factorizations and explicit formulae for harmonic maps
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On Deformable Minimal Hypersurfaces in Space Forms
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Bumpy Riemannian metrics and closed parametrized minimal surfaces in Riemannian manifolds
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Conformal immersions of prescribed mean curvature in R^3
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Conformally Invariant Variational Problems
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Branch points of area-minimizing projective planes
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Holomorphic structures for surfaces in Euclidean $n$-space
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Limiting Behaviour of the Teichmüller Harmonic Map Flow
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Jacobi fields along harmonic maps
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Jacobi fields along harmonic 2-spheres in ${\bf C}P^2$ are integrable
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Geometric deformations of immersed surfaces in non-positively curved manifolds
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Cross Ratios, Anosov Representations and the Energy Functional on Teichmuller Space
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A real-analytic Jordan curve cannot bound infinitely many relative minima of area
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Milnor numbers for 2-surfaces in 4-manifolds
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The Deformation of Lagrangian Minimal Surfaces in Kahler-Einstein Surfaces
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Minimal surfaces and the new main inequality
inferred← citeshttps://doi.org/10.82444/warw.33772999openalex-snapshot
Isotropic harmonic maps to Kähler manifolds and related properties
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