SLANT SUBMANIFOLDS OF A RIEMANNIAN PRODUCT MANIFOLD

doi:10.1016/S0252-9602(10)60039-2

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (1): 215-224.doi: 10.1016/S0252-9602(10)60039-2

SLANT SUBMANIFOLDS OF A RIEMANNIAN PRODUCT MANIFOLD

Mehmet Atceken

Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpasa University, Tokat 60250, Turkey

收稿日期:2006-12-24 修回日期:2007-08-20 出版日期:2010-01-20 发布日期:2010-01-20

SLANT SUBMANIFOLDS OF A RIEMANNIAN PRODUCT MANIFOLD

Mehmet Atceken

Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpasa University, Tokat 60250, Turkey

Received:2006-12-24 Revised:2007-08-20 Online:2010-01-20 Published:2010-01-20

摘要/Abstract

摘要：

In this article, the geometry of the slant submanifolds of a Riemannian product manifold is studied. Some necessary and sufficient conditions on slant, bi-slant and semi-slant submanifolds are given. We research fundamental properties of the distributions which are involved in definitions of semi- and bi-slant submanifolds
in a Riemannian product manifold.

关键词: slant distribution, slant submanifold, semi-slant and bi-slant submanifold

Abstract:

Key words: slant distribution, slant submanifold, semi-slant and bi-slant submanifold

中图分类号:

53C42

Mehmet Atceken. SLANT SUBMANIFOLDS OF A RIEMANNIAN PRODUCT MANIFOLD[J]. 数学物理学报(英文版), 2010, 30(1): 215-224.

Mehmet Atceken. SLANT SUBMANIFOLDS OF A RIEMANNIAN PRODUCT MANIFOLD[J]. Acta mathematica scientia,Series B, 2010, 30(1): 215-224.

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SLANT SUBMANIFOLDS OF A RIEMANNIAN PRODUCT MANIFOLD

SLANT SUBMANIFOLDS OF A RIEMANNIAN PRODUCT MANIFOLD

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