A note on hemi-slant submanifolds of para Sasakian manifolds
Abstract
In this paper, we study hemi-slant submanifolds as a generalization of slant submanifolds of para contact manifolds. We particularly work out on hemi-slant submanifolds of para Sasakian manifold. Further, we obtain necessary and sufficient conditions for integrability of distributions which are involved in the definition of hemi-slant submanifolds of para Sasakian manifolds. Finally, we obtain the necessary and sufficient condition for a hemi-slant submanifold to be hemi-slant product and also provide some examples of such submanifolds.
Copyright © 2022 Punit Kumar Singh, Satyendra Pratap Singh, Virendra Nath Pathak. 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
P. K. Singh, S. P. Singh, V. N. Pathak, A note on hemi-slant submanifolds of para Sasakian manifolds, J. Math. Comput. Sci. 12 (2022), 177. https://doi.org/10.28919/jmcs/7459
BibTeX
@article{Singh2022,
author = {Singh, Punit Kumar and Singh, Satyendra Pratap and Pathak, Virendra Nath},
title = {A note on hemi-slant submanifolds of para Sasakian manifolds},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {177},
doi = {10.28919/jmcs/7459}
}