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arxiv: 1605.02962 · v1 · pith:OIJCUVP7new · submitted 2016-05-10 · 🧮 math.DG

Geodesics associated to the balanced metric on the Siegel-Jacobi ball

Stefan Berceanu This is my paper
classification 🧮 math.DG
keywords ballsiegel-jacobibalancedmetricgeodesicsassociatedcalculatechristoffel
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We determine the Christoffel's symbols for the Siegel-Jacobi ball endowed with the balanced metric. We study the equations of geodesics on the Siegel-Jacobi ball. We calculate the covariant derivative of one-forms in the variables in which is expressed the balanced metric 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.