Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2007; 22(3): 419-428

Printed September 1, 2007

Copyright © The Korean Mathematical Society.

Hessian geometry of the homogeneous graph domain

Yuncherl Choi, Kyeongsoo Chang

Kwangwoon University, Sangsan High School

Abstract

In this paper, we will investigate the Hessian geometry of the homogeneous domain over the hypersurface given by a function $F : \R^n \rightarrow \R$ with $|\det DdF| = 1$.

Keywords: Hessian algebra, Hessian domain, homomgeneous graph domain, Hessian geometry, sectional curvature

MSC numbers: 53A15, 53C30, 17D25, 53B05