Warped product semi-slant submanifolds in Kenmotsu manifolds

By Mehmet Atceken. Turkish Journal of Mathematics, 2010

52 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/70f278e47203e69b9f09a09015ed6986bfc4972c