Two theorems on invariant submanifolds of product Riemannian manifold

被引：0
|
作者：
Atçeken, M [1 ]
Keles, S [1 ]
机构：
[1] Inonu Univ, Fac Sci & Art, Dept Math, TR-44100 Malatya, Turkey
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2003年 / 34卷 / 07期
关键词：
product Riemannian manifold; curvature-invariant submanifold; pseudo-umbilical submanifold; vertical and horizontal distributions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we discuss the distributions of a Riemannian almost-product structure in product Riemannian manifold. We show that an invariant submanifold of a product Riemannian manifold has a Riemannian almost-product structure, and investigate properties of integral manifold of distributions of Riemannian almost-product structure, i.e., pseudo-umbilical submanifold and curvature-invariant submanifold.
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页码：1035 / 1044
页数：10
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