Complete locally conformally flat manifolds of negative curvature

被引：24

作者：

Brozos-Vazquez, Miguel ^{[1
]}

Garcia-Rio, Eduardo ^{[1
]}

Vazquez-Lorenzo, Ramon ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, Spain

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2006年 / 226卷 / 02期

关键词：

locally conformally flat; warped product metric; Mobius equation; Obata equation;

D O I：

10.2140/pjm.2006.226.201

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct new examples of complete locally conformally flat manifolds of negative curvature by means of warped product and multiply warped product structures. Special attention is paid to those spaces with one-dimensional base, thus generalizing the Robertson - Walker spacetimes, and to those with higher-dimensional base of constant curvature.

引用

页码：201 / 219

页数：19

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