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.

引用

页码：1035 / 1044

页数：10

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