Isometric immersions of warped products

被引：98

作者：

Nolker, S ^{[1
]}

机构：

[1] UNIV COLOGNE,INST MATH,D-50931 COLOGNE,GERMANY

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1996年 / 6卷 / 01期

关键词：

warped product; decomposition of standard spaces of constant curvature; decomposition of submanifolds;

D O I：

10.1016/0926-2245(96)00004-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive a decomposition theorem for an isometric immersion f : M --> N(k)appa(n) of a warped product M into the standard n-space N-kappa(r) of constant curvature kappa and classify all warped product decompositions of the standard spaces.

引用

页码：1 / 30

页数：30

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