Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2013; 50(3): 787-799

Printed May 31, 2013

https://doi.org/10.4134/BKMS.2013.50.3.787

Copyright © The Korean Mathematical Society.

Sectional survatures of the Siegel-Jacobi space

Jae-Hyun Yang, Young-Hoon Yong, Su-Na Huh, Jung-Hee Shin, and Gil-Hong Min

Inha University, Inha University, Inha University, Inha University, Inha University

Abstract

In this paper, we compute the sectional curvatures and the scalar curvature of the Siegel-Jacobi space$\mathbb{H}_1 \times \mathbb{C}$ of degree 1 and index 1 explicitly.

Keywords: Siegel-Jacobi space, sectional curvatures, scalar curvature

MSC numbers: Primary 32Q15, 32M10, 53C30