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The objective of this paper is to introduce and study Einstein-like para-Kenmotsu manifolds. For a para-Kenmotsu manifold to be Einstein-like, a necessary and sufficient condition in terms of its curvature tensor is obtained. We also obtain the scalar curvature of an Einstein-like para-Kenmotsu manifold. A necessary and sufficient condition for an almost para-contact metric hypersurface of a locally product Riemannian manifold to be para-Kenmotsu is derived and it is shown that the para-Kenmotsu hypersurface of a locally product Riemannian manifold of almost constant curvature is always Einstein.
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참고문헌 (11)
참고문헌 신청
T. Adati / 1995 / On conformally recurrent and conformally sym-metric p-Sasakian manifold / TRU Math 13:25~32
J. K. Beem / 1996 / Global Lorentzian Geometry / Marcel Dekker
A. Bejancu / 1993 / Real hypersurfaces of inde nite Kaehler manifolds / International Journal of Mathematics and Mathematical Sciences 16(3):545~556
A. M. Blaga / 2015 / Eta-Ricci solitons on para-Kenmotsu manifolds / Balkan Journal of Geometry and Its Application 20(1):1~13
D. Janssens / 1981 / Almost contact structures and curvature tensors / Kodai Mathematical Journal 4:1~27
J. K. Beem / 1996 / Global Lorentzian Geometry / Marcel Dekker
A. Bejancu / 1993 / Real hypersurfaces of inde nite Kaehler manifolds / International Journal of Mathematics and Mathematical Sciences 16(3):545~556
A. M. Blaga / 2015 / Eta-Ricci solitons on para-Kenmotsu manifolds / Balkan Journal of Geometry and Its Application 20(1):1~13
D. Janssens / 1981 / Almost contact structures and curvature tensors / Kodai Mathematical Journal 4:1~27
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