Warped product semi-slant submanifolds in locally Riemannian product manifolds

被引：16

作者：

Atceken, Mehmet ^{[1
]}

机构：

[1] GOP Univ, Fac Arts & Sci, Dept Math, TR-60200 Tokat, Turkey

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2008年 / 77卷 / 02期

关键词：

warped product; slant distribution; semi-slant submanifold; spheric foliation and locally Riemannian product manifold;

D O I：

10.1017/S0004972708000191

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that there are no warped product proper semi-slant submanifolds such that the spheric submanifold of a warped product is a proper slant. But we show by means of examples the existence of warped product semi-slant submanifolds such that the totally geodesic submanifold of a warped product is a proper slant submanifold in locally Riemannian product manifolds.

引用

页码：177 / 186

页数：10

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