On generic submanifolds of LP-Sasakian manifolds with concurrent vector fields
Commun. Korean Math. Soc.
Published online September 8, 2020
Sujoy Ghosh, Jae-bok Jun, and Avijit Sarkar
University of Kalyani, Kookmin University
Abstract : The object of the present paper is to deduce some important results on generic submanifolds and also generic product of LP-Sasakian manifolds with concurrent vector fields. Also, we provide a necessary and sufficient condition for which the invariant distribution D and antiinvariant distribution D⊥ of M are Einstein. Also, we deduce an interesting necessary and sufficient condition for submanifolds of LP-Sasakian manifolds to be totally umbilical submanifolds. Especially we deal with the generic submanifolds admitting a Ricci soliton in LP-Sasakian manifolds endowed with concurrent vector fields.
Keywords : LP-Sasakian manifolds, semi-invariant submanifolds, generic semi-invariant submanifolds, totally geodesic submanifolds, totally umbilical submanifolds, concurrent vector fields
MSC numbers : 53C15,53D 15
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