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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 $D^\perp$ 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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참고문헌 (26)
참고문헌 신청
P. Alegre / 2011 / Semi-invariant submanifolds of Lorentzian Sasakian manifolds, / Demonstratio Math 44(2):391~406
C. S. Bagewadi / 2012 / Ricci solitons in Lorentzian α-Sasakian manifolds / Acta Math. Acad. Paedagog. Nyh´azi 2(1):59~68
Aurel Bejancu / 1978 / CR Submanifolds of a Kaehler Manifold. I / Proceedings of the American Mathematical Society 69(1):135~142
A. Bejancu / 1981 / Semi-invariant submanifolds of a Sasakian manifold / An. S¸tiint¸. Univ. “Al. I. Cuza” Ia¸si Sect¸. I a Mat 27(1):163~170
B.-Y. Chen / 1973 / Geometry of Submanifolds / Marcel Dekker, Inc
C. S. Bagewadi / 2012 / Ricci solitons in Lorentzian α-Sasakian manifolds / Acta Math. Acad. Paedagog. Nyh´azi 2(1):59~68
Aurel Bejancu / 1978 / CR Submanifolds of a Kaehler Manifold. I / Proceedings of the American Mathematical Society 69(1):135~142
A. Bejancu / 1981 / Semi-invariant submanifolds of a Sasakian manifold / An. S¸tiint¸. Univ. “Al. I. Cuza” Ia¸si Sect¸. I a Mat 27(1):163~170
B.-Y. Chen / 1973 / Geometry of Submanifolds / Marcel Dekker, Inc
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