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Berry Phases and Connection Matrices Defined on Homogeneous Spaces Attached to Siegel-Jacobi Groups

https://doi.org/10.2139/ssrn.4770291
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Berezin quantization of homogeneous bounded domains
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Invariant metrics and Laplacians on Siegel-Jacobi disk
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Invariant metric on the extended Siegel–Jacobi upper half space
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Hamiltonian systems on almost cosymplectic manifolds
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Invariant metrics and Laplacians on Siegel–Jacobi space
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Coherent states and geodesics: cut locus and conjugate locus
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Coherent states associated to the real Jacobi group
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Generalized coherent states and Berry’s phase
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Linear dynamical systems, coherent state manifolds, flows, and matrix Riccati equation
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Geometrical description of Berry's phase
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Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
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RIEMANNIAN MANIFOLDS WITH HOMOGENEOUS GEODESICS
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A HOLOMORPHIC REPRESENTATION OF THE JACOBI ALGEBRA
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A CONVENIENT COORDINATIZATION OF SIEGEL–JACOBI DOMAINS
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A SURVEY ON COSYMPLECTIC GEOMETRY
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ON THE GEOMETRY OF SIEGEL–JACOBI DOMAINS
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CONSEQUENCES OF THE FUNDAMENTAL CONJECTURE FOR THE MOTION ON THE SIEGEL–JACOBI DISK
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Coherent states and geometry on the Siegel–Jacobi disk
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Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball
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A PARTIAL CAYLEY TRANSFORM OF SIEGEL-JACOBI DISK
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Lectures on Kähler Manifolds
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The Gromov norm of the Kaehler class and the Maslov index
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Topology of Co-symplectic/Co-Kähler Manifolds
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The Sasakian Geometry of the Heisenberg Group
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Wei-Norman and Berezin's equations of motion on the Siegel-Jacobi disk
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Bergman representative coordinates on the Siegel-Jacobi disk
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Geodesics associated to the balanced metric on the Siegel-Jacobi ball
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Remarks on the geometry of the extended Siegel--Jacobi upper half-plane
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A review on contact Hamiltonian and Lagrangian systems
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Geodesics on the extended Siegel-Jacobi upper half-plane
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Geometrical phases on hermitian symmetric spaces
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Realization of coherent state Lie algebras by differential operators
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Remark on Harmonic Analysis on Siegel-Jacobi Space
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Coherent states, phases and symplectic areas of geodesic triangles
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