Slant lightlike submersions from an indefinite nearly Kahler manifold into a lightlike manifold
Abstract
As a generalization of almost Hermitian submersions, we introduce slant lightlike submersion from an indefinite nearly Kähler manifold into a lightlike manifold. We establish the existence theorems for these submersions and investigate the geometry of foliations which are arisen from the definition of lightlike submersion. We also find necessary and sufficient condition for the leaves of the distributions to be totally geodesic foliations in indefinite nearly Kähler manifold.
Copyright © 2018 Rajendra Prasad, Punit Kumar Singh, Sushil Kumar. 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
R. Prasad, P. K. Singh, S. Kumar, Slant lightlike submersions from an indefinite nearly Kahler manifold into a lightlike manifold, J. Math. Comput. Sci. 8 (2018), 225–240. https://doi.org/10.28919/jmcs/3561
BibTeX
@article{Prasad2018,
author = {Prasad, Rajendra and Singh, Punit Kumar and Kumar, Sushil},
title = {Slant lightlike submersions from an indefinite nearly Kahler manifold into a lightlike manifold},
journal = {J. Math. Comput. Sci.},
volume = {8},
year = {2018},
pages = {225--240},
doi = {10.28919/jmcs/3561}
}