A note on slant submanifolds of nearly trans-Sasakian manifolds

被引：3
|
作者：
Al-Solamy, Falleh R. [1 ]
Khan, Viqar Azam [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
MATHEMATICA SLOVACA | 2010年 / 60卷 / 01期
关键词：
nearly trans-Sasakian manifolds; slant submanifolds; invariant submanifold; anti-invariant submanifold;
D O I：
10.2478/s12175-009-0172-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The geometry of slant submanifolds of a nearly trans-Sasakian manifold is studied when the tensor field Q is parallel. It is proved that Q is not parallel on the submanifold unless it is anti-invariant and thus the result of [CABRERIZO, J. L.-CARRIAZO, A.-FERNANDEZ, L. M.-FERNANDEZ, M.: Slant submanifolds in Sasakian manifolds, Glasg. Math. J. 42 (2000), 125-138] and [GUPTA, R. S.-KHURSHEED HAIDER, S. M.-SHARFUDIN, A.: Slant submanifolds of a trans-Sasakian manifold, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 47 (2004), 45-57] are generalized.
引用
收藏
页码：129 / 136
页数：8
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