On invariant submanifolds of trans-Sasakian manifolds

Proceedings of the Estonian Academy of Sciences

Avijit Sarkar¹  Matilal Sen¹ 

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关键词: trans-Sasakian manifolds;    second fundamental form;    recurrent;    invariant submanifold;    totally geodesic;   

DOI  :  10.3176/proc.2012.1.04

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

The object of the present paper is to find necessary and sufficient conditions for invariant submanifolds of trans-Sasakian manifolds to be totally geodesic. As a remark, particular cases of submanifolds of α-Sasakian and β-Kenmotsu manifolds are considered and the difference between the conditions for submanifolds of α-Sasakian and β-Kenmotsu manifolds to be totally geodesic is shown.

【 授权许可】

Unknown