ON SOME CLASSES OF INVARIANT SUBMANIFOLDS OF LORENTZIAN PARA-SASAKIAN MANIFOLDS

機構典藏 > Journal of TKU > Tamkang Journal of Mathematics > v.47 n.2 > Item 987654321/109362

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Title:	ON SOME CLASSES OF INVARIANT SUBMANIFOLDS OF LORENTZIAN PARA-SASAKIAN MANIFOLDS
Authors:	Samui, Srimayee;De, Uday Chand
Keywords:	Lorentzian para-Sasakian manifolds;submanifolds;semiparallel;2-semiparallel;recurrent;bi-recurrent;pseudo-parallel;Ricci pseudo parallel;totally geodesic.
Date:	2016-06
Issue Date:	2017-01-17 10:00:03 (UTC+8)
Publisher:	淡江大學出版中心
Abstract:	The object of the present paper is to study invariant submanifolds of Lorenzian Para-Sasakian manifolds. We consider the recurrent and bi-recurrent invariant submanifolds of Lorentzian para-Sasakian manifolds and pseudo-parallel and generalized Ricci pseudo-parallel invariant submanifolds of Lorentzian para-Sasakian manifolds. Also we search for the conditions Z(X,Y)⋅α=fQ(g,α)Z(X,Y)⋅α=fQ(g,α) and Z(X,Y)⋅α=fQ(S,α)Z(X,Y)⋅α=fQ(S,α) on invariant submanifolds of Lorentzian para-Sasakian manifolds, where ZZ is the concircular curvature tensor. Finally, we construct an example of an invariant submanifold of Lorentzian para Sasakian manifold.
Relation:	Tamkang Journal of Mathematics 47(2), pp.207-220
DOI:	10.5556/j.tkjm.47.2016.1868
Appears in Collections:	[Tamkang Journal of Mathematics] v.47 n.2

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