Dependence of the Gauss-Codazzi equations and the Ricci equation of Lorentz surfaces

被引：0

作者：

Chen, Bang-Yen ^{[1
]}

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2009年 / 74卷 / 3-4期

关键词：

Lorentz surfaces; equation of Ricci; equations of Gauss-Codazzi; Lorentzian Kaehler surface; COMPLEX-SPACE FORMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The fundamental equations of Gauss, Codazzi and Ricci provide the conditions for local isometric embeddability. In general, the three fundamental equations are independent for surfaces in Riemannian 4-manifolds. In contrast, we prove in this article that for arbitrary Lorentz surfaces in Lorentzian Kaehler surfaces the equation of Ricci is a consequence of the equations of Gauss and Codazzi.

引用

页码：341 / 349

页数：9

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