Warped product semi-slant submanifolds in Kenmotsu manifolds

Authors

MEHMET ATÇEKEN

DOI

10.3906/mat-0901-6

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.

First Page

425

Last Page

433

Recommended Citation

ATÇEKEN, MEHMET (2010) "Warped product semi-slant submanifolds in Kenmotsu manifolds," Turkish Journal of Mathematics: Vol. 34: No. 3, Article 12. https://doi.org/10.3906/mat-0901-6
Available at: https://journals.tubitak.gov.tr/math/vol34/iss3/12