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arxiv: 1512.00601 · v2 · pith:JZ7KLYCTnew · submitted 2015-12-02 · 🧮 math.DG

Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball

Stefan Berceanu This is my paper
classification 🧮 math.DG
keywords ballsiegel-jacobibalancedberezinmetricquantizationaspectscalculate
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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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  1. Linear Hamiltonians in generators of the real Jacobi group on the extended Siegel-Jacobi space and equations of motion attached

    math.DG 2026-06 unverdicted novelty 4.0

    Presents equations of motion attached to linear Hamiltonians in generators of the real Jacobi group G^J_n(R) on the extended Siegel-Jacobi upper half space using its energy function.