Semi-invariant submanifolds of Kenmotsu manifold with generalized almost r-contact structure admitting semi- symmetric semi -metric connection
Abstract
We consider an almost r-contact Kenmotsu manifold admitting a semi-symmetric semi-metric connection and study semi-invariant submanifolds of an almost r-contact Kenmotsu manifold endowed with a semi- symmetric semi-metric connection. We obtain Gauss and Weingarten formula for such connection. We also discuss the integrability conditions of distributions on Kenmotsu manifold.
Copyright © 2013 Mobin Ahmad, Sheeba Rizvi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Ahmad, S. Rizvi, Semi-invariant submanifolds of Kenmotsu manifold with generalized almost r-contact structure admitting semi- symmetric semi -metric connection, J. Math. Comput. Sci. 3 (2013), 594–606.
BibTeX
@article{Ahmad2013,
author = {Ahmad, Mobin and Rizvi, Sheeba},
title = {Semi-invariant submanifolds of Kenmotsu manifold with generalized almost r-contact structure admitting semi- symmetric semi -metric connection},
journal = {J. Math. Comput. Sci.},
volume = {3},
year = {2013},
pages = {594--606},
doi = {}
}