• 제목/요약/키워드: generic semi-invariant submanifolds

검색결과 2건 처리시간 0.016초

ON GENERIC SUBMANIFOLDS OF LP-SASAKIAN MANIFOLDS WITH CONCURRENT VECTOR FIELDS

  • Ghosh, Sujoy;Jun, Jae-Bok;Sarkar, Avijit
    • 대한수학회논문집
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    • 제36권2호
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    • pp.361-375
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    • 2021
  • 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.