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

页码：378 / 387

页数：10

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