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.

DOI

10.3906/mat-0901-6

Keywords

Warped product, Slant submanifold and Kenmotsu manifold.

First Page

425

Last Page

433

Recommended Citation

ATÇEKEN, M (2010). Warped product semi-slant submanifolds in Kenmotsu manifolds. Turkish Journal of Mathematics 34 (3): 425-433. https://doi.org/10.3906/mat-0901-6