Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON GENERIC SUBMANIFOLDS OF LP-SASAKIAN MANIFOLDS WITH CONCURRENT VECTOR FIELDS

  • Ghosh, Sujoy (Department of Mathematics University of Kalyani) ;
  • Jun, Jae-Bok (Department of Mathematics College of Natural Science Kookmin University) ;
  • Sarkar, Avijit (Department of Mathematics University of Kalyani)
  • Received : 2020.06.04
  • Accepted : 2020.07.30
  • Published : 2021.04.30
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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 anti-invariant 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.

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References

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