Screen Cauchy Riemann lightlike submersions
Abstract
We introduce the notion of screen Cauchy Riemann (SCR) lightlike submersions from an indefinite Kahler manifold onto a lightlike manifold. We prove that SCR-lightlike submersions include complex (invariant) and screen real (anti-invariant) lightlike submersions. We study some properties of proper SCR-lightlike submersions, their invariant and anti-invariant subcases. We also study the geometry of complex lightlike submersions and show that the radical distribution defines a totally geodesic foliation.
Copyright © 2021 S. S. Shukla, Shivam Omar. 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
S. S. Shukla, S. Omar, Screen Cauchy Riemann lightlike submersions, J. Math. Comput. Sci. 11 (2021), 2377–2402. https://doi.org/10.28919/jmcs/5426
BibTeX
@article{Shukla2021,
author = {Shukla, S. S. and Omar, Shivam},
title = {Screen Cauchy Riemann lightlike submersions},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {2377--2402},
doi = {10.28919/jmcs/5426}
}