The local Mobius equation and decomposition theorems in Riemannian geometry

被引：1
|
作者：
Fernández-López, M
García-Río, E
Kupeli, DN
机构：
[1] Univ Santiago de Compostela, Fac Math, Dept Geometry & Topol, Santiago De Compostela 15782, Spain
[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2002年 / 45卷 / 03期
关键词：
submersion; Mobius equation; twisted product; warped product; product Riemannian manifolds;
D O I：
10.4153/CMB-2002-040-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A partial differential equation, the local Mobius equation, is introduced in Riemannian geometry which completely characterizes the local twisted product structure of a Riemannian manifold. Also the characterizations of warped product and product structures of Riemannian manifolds are made by the local Mobius equation and an additional partial differential equation.
引用
收藏
页码：378 / 387
页数：10
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