Warped product semi-slant submanifolds in Kenmotsu manifolds

Authors: MEHMET ATÇEKEN

Abstract: In this paper, we research the existence or non-existence of warped product semi-slant submanifolds in Kenmotsu manifolds. Consequently, we see that there are no proper warped product semi-slant submanifolds in Kenmotsu manifolds such that totally geodesic and totally umbilical submanifolds of warped product are proper semi-slant and invariant (or anti-invariant), respectively.

Keywords: Warped product, Slant submanifold and Kenmotsu manifold.

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