SLANT SUBMANIFOLDS OF A RIEMANNIAN PRODUCT MANIFOLD

被引:15
作者
Atceken, Mehmet [1 ]
机构
[1] Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, TR-60250 Tokat, Turkey
关键词
slant distribution; slant submanifold; semi-slant and bi-slant submanifold;
D O I
10.1016/S0252-9602(10)60039-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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.
引用
收藏
页码:215 / 224
页数:10
相关论文
共 5 条
[1]  
BEJANCU A, 1984, ANN U TIMISOARA S MA, V22, P3
[2]   Semi-slant submanifolds of a Sasakian manifold [J].
Cabrerizo, JL ;
Carriazo, A ;
Fernández, LM ;
Fernández, M .
GEOMETRIAE DEDICATA, 1999, 78 (02) :183-199
[3]   Slant submanifolds of complex projective and complex hyperbolic spaces [J].
Chen, BY ;
Tazawa, Y .
GLASGOW MATHEMATICAL JOURNAL, 2000, 42 :439-454
[4]  
Lotta A., 1996, Bull. Math. Soc. Roum, V39, P183
[5]   Submanifolds of product Riemannian manifold [J].
Xu, SL ;
Ni, YL .
ACTA MATHEMATICA SCIENTIA, 2000, 20 (02) :213-218