On GCR-Lightlike Submanifolds of Indefinite Kaehler Manifolds
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Published:2022
Issue:
Volume:63
Page:21-37
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ISSN:1312-5192
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Container-title:Journal of Geometry and Symmetry in Physics
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language:
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Short-container-title:J. Geom. Symmetry Phys.
Author:
Jain Varun,Rani Rachna,Kumar Rakesh
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.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Subject
Geometry and Topology,Mathematical Physics