NONDEGENERATE AFFINE HOMOGENEOUS DOMAIN OVER A GRAPH

Title & Authors
NONDEGENERATE AFFINE HOMOGENEOUS DOMAIN OVER A GRAPH
Choi, Yun-Cherl;

Abstract
The affine homogeneous hypersurface in $\small{{\mathbb{R}}^{n+1}}$, which is a graph of a function $\small{F:{\mathbb{R}}^n{\rightarrow}{\mathbb{R}}}$ with |det DdF|=1, corresponds to a complete unimodular left symmetric algebra with a nondegenerate Hessian type inner product. We will investigate the condition for the domain over the homogeneous hypersurface to be homogeneous through an extension of the complete unimodular left symmetric algebra, which is called the graph extension.
Keywords
affine homogeneous domain;graph extension;left symmetric algebra;Hessian structure;
Language
English
Cited by
1.
HESSIAN GEOMETRY OF THE HOMOGENEOUS GRAPH DOMAIN,;;

대한수학회논문집, 2007. vol.22. 3, pp.419-428
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