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Intrinsic regular hypersurfaces in Heisenberg groups

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Rectifiability and perimeter in the Heisenberg group

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Geometric Measure Theory

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Regular submanifolds, graphs and area formula in Heisenberg groups

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Analysis and Geometry on Groups

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Lifts of Lipschitz maps and horizontal fractals in the Heisenberg group

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Sobolev met Poincaré

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RECTIFIABILITY OF MEASURES WITH LOCALLY UNIFORM CUBE DENSITY

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A notion of rectifiability modeled on Carnot groups

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Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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Metriques de Carnot-Caratheodory et Quasiisometries des Espaces Symetriques de rang un

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Rectifiability and parameterization of intrinsic regular surfaces in the Heisenberg group

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Characteristic points, rectifiability and perimeter measure on stratified groups

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Good metric spaces without good parameterizations

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On the nonexistence of bilipschitz parameterizations and geometric problems about $A_\infty$-weights

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The geometric Sobolev embedding for vector fields and the isoperimetric inequality

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Regular Hypersurfaces, Intrinsic Perimeter and Implicit Function Theorem in Carnot Groups

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On Carnot-Carathéodory metrics

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C^1 Hypersurfaces of the Heisenberg Group are N-Rectifiable

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Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric

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Measures with unique tangent measures in metric groups

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Intrinsic regular submanifolds in Heisenberg groups are differentiable graphs

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Uniqueness of generalized $$p$$ p -area minimizers and integrability of a horizontal normal in the Heisenberg group

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Regularity of $$C^1$$ C 1 surfaces with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds

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The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group

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Schauder estimates at the boundary for sub-laplacians in Carnot groups

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Area-minimizing ruled graphs and the Bernstein problem in the Heisenberg group

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A Gauge Field Model of Modal Completion

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Intrinsic Differentiability and Intrinsic Regular Surfaces in Carnot Groups

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Generalized Jacobi Identities and Ball-Box Theorem for Horizontally Regular Vector Fields

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Stable H-Minimal Hypersurfaces

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Intrinsic Lipschitz Graphs Within Carnot Groups

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A Characterization of Horizontally Totally Geodesic Hypersurfaces in Heisenberg Groups

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Metric Rectifiability of ℍ-regular Surfaces with Hölder Continuous Horizontal Normal

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Geometric inequalities in Carnot groups

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Metric rectifiability of $\mathbb{H}$-regular surfaces with Hölder continuous horizontal normal

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Rickman rugs and intrinsic bilipschitz graphs

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Some remarks on contact variations in the first Heisenberg group

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Intrinsic regular surfaces of low codimension in Heisenberg groups

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Intrinsically Lipschitz functions with normal target in Carnot groups

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Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups

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