On GCR-Lightlike Submanifolds of Indefinite Kaehler Manifolds
- 1 January 2022
- journal article
- research article
- Published by Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) in Journal of Geometry and Symmetry in Physics
- Vol. 63, 21-37
- https://doi.org/10.7546/jgsp-63-2022-21-37
Abstract
We study generalized Cauchy-Riemann (GCR)-lightlike submanifolds of indefinite Kaehler manifolds admitting a quarter-symmetric non-metric connection. We derive a condition for a totally umbilical GCR-lightlike submanifold of indefinite Kaehler manifolds admitting a quarter-symmetric non-metric connection to be a totally geodesic submanifold. We study minimal GCR-lightlike submanifolds and obtain characterization theorem for a GCR-lightlike submanifold to be a GCR-lightlike product manifold.Keywords
This publication has 6 references indexed in Scilit:
- Radical screen transversal lightlike submanifolds of indefinite Kaehler manifolds admitting a quarter-symmetric non-metric connectionInternational Journal of Geometric Methods in Modern Physics, 2018
- Some characterization theorems on holomorphic sectional curvature of GCR-lightlike submanifoldsInternational Journal of Geometric Methods in Modern Physics, 2017
- Orthogonal Spheres, Light Cones and Causality in Minkowski SpaceJournal of Geometry and Symmetry in Physics, 2017
- Screen conformal lightlike submanifolds of semi-Riemannian manifoldsJournal of Geometry, 2015
- GCR-Lightlike Product of Indefinite Sasakian ManifoldsAdvances in Mathematical Physics, 2011
- Generalized Cauchy--Riemann lightlike submanifolds of Kaehler manifoldsActa Mathematica Hungarica, 2006