TWISTED PRODUCTS IN PSEUDO-RIEMANNIAN GEOMETRY

被引：186

作者：

PONGE, R ^{[1
]}

RECKZIEGEL, H ^{[1
]}

机构：

[1] UNIV COLOGNE,INST MATH,W-5000 COLOGNE 41,GERMANY

来源：

GEOMETRIAE DEDICATA | 1993年 / 48卷 / 01期

关键词：

D O I：

10.1007/BF01265674

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Twisted products are generalizations of warped products, namely the warping function may depend on the points of both factors. The two canonical foliations of a twisted product are mutually perpendicular and their leaves are totally geodesic, resp. totally umbilic. The main result is a decomposition theorem of de Rham type; If on a simply connected, geodesically complete pseudo-Riemannian manifold M two foliations with the above properties are given, then M is a twisted product.

引用

页码：15 / 25

页数：11