Cubo (Aug 2019)

Totally umbilical proper slant submanifolds of para-Kenmotsu manifold

  • M.S. Siddesha,
  • C.S. Bagewadi,
  • D. Nirmala

DOI
https://doi.org/10.4067/S0719-06462019000200041
Journal volume & issue
Vol. 21, no. 2
pp. 41 – 49

Abstract

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In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of the submanifold lies in the invariant normal subbundle.

Keywords