Totally geodesic submanifolds of a trans-Sasakian manifold

被引：6
|
作者：
De, Avik [1 ]
机构：
[1] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia
来源：
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2013年 / 62卷 / 04期
关键词：
invariant submanifold; trans-Sasakian manifold; totally geodesic; semi-parallel; recurrent; pseudo-parallel; Ricci generalized pseudo-parallel; INVARIANT SUBMANIFOLDS;
D O I：
10.3176/proc.2013.4.05
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X;Y).h = 0, where Z is the concircular curvature tensor.
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页码：249 / 257
页数：9
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