Honam Mathematical Journal (호남수학학술지)

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A NOTE ON EINSTEIN-LIKE PARA-KENMOTSU MANIFOLDS

  • Prasad, Rajendra (Department of Mathematics & Astronomy, University of Lucknow) ;
  • Verma, Sandeep Kumar (Department of Mathematics & Astronomy, University of Lucknow) ;
  • Kumar, Sumeet (Department of Mathematics & Astronomy, University of Lucknow)
  • Received : 2018.12.24
  • Accepted : 2019.04.22
  • Published : 2019.12.25
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Abstract

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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References

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