Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball

Abstract

We determine the matrix of the balanced metric of the Siegel-Jacobi ball and its inverse. We calculate the scalar curvature, the Ricci form and the Laplace-Beltrami operator of this manifold. We discuss several geometric aspects related with Berezin quantization on the Siegel-Jacobi ball.

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Cited by in corpus (7)

• Invariant metric on the extended Siegel-Jacobi upper half space
• The Real Jacobi Group Revisited
• Hamiltonian systems on almost cosymplectic manifolds
• Geodesics associated to the balanced metric on the Siegel-Jacobi ball
• Remarks on the geometry of the extended Siegel--Jacobi upper half-plane
• Geodesics on the extended Siegel-Jacobi upper half-plane
• The category of weight modules for symplectic oscillator Lie algebras