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

2016/05/10 by Stefan Berceanu, Berceanu, Stefan · 2 citations
Mathematics · #32Q15 #53C22 #81R30 #81S10 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1605.02962

openalex publication_date 2016/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Geodesics on the extended Siegel-Jacobi upper half-plane
• Remarks on the geometry of the extended Siegel--Jacobi upper half-plane

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