SLANT SUBMANIFOLDS OF A RIEMANNIAN PRODUCT MANIFOLD  

作　　者：Mehmet Ateken 

机构地区：[1]Department of Mathematics,Faculty of Arts and Sciences,Gaziosmanpasa University

出　　处：《Acta Mathematica Scientia》2010年第1期215-224,共10页数学物理学报（B辑英文版）

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.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 

分 类 号：O186.12[理学—数学] F222.72[理学—基础数学]