A curvature condition for a twisted product to be a warped product

被引：53

作者：

Fernández-López, M ^{[1
]}

García-Río, E

Kupeli, DN

Ünal, B

机构：

[1] Univ Santiago, Fac Math, Dept Geometry & Topol, Santiago De Compostela 15706, Spain

[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

MANUSCRIPTA MATHEMATICA | 2001年 / 106卷 / 02期

关键词：

D O I：

10.1007/s002290100204

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that a mixed Ricci-flat twisted product semi-Riemannian manifold can be expressed as a warped product semi-Riemannian manifold. Asa consequence, any Einstein twisted product semi-Riemannian manifold is in fact, a warped product serni-Riemannian manifold.

引用

页码：213 / 217

页数：5

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