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Kyungpook Mathematical Journal 2024; 64(3): 407-416

Published online September 30, 2024 https://doi.org/10.5666/KMJ.2024.64.3.407

Copyright © Kyungpook Mathematical Journal.

Problems in the Geometry of the Siegel-Jacobi Space

Jae-Hyun Yang

Department of Mathematics, Inha University, Incheon 22212, Republic of Korea
e-mail : jhyang@inha.ac.kr; jhyang8357@gmail.com

Received: September 5, 2023; Revised: October 25, 2023; Accepted: October 26, 2023

Abstract

The Siegel-Jacobi space is a non-symmetric homogeneous space which is very important geometrically and arithmetically. In this short paper, we propose the basic problems in the geometry of the Siegel-Jacobi space.

Keywords: Siegel-Jacobi space, Invariant metrics, Laplace operator, Invariant differential operators, Compactification