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Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball

Published 2 Dec 2015 in math.DG | (1512.00601v2)

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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