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http://dx.doi.org/10.5831/HMJ.2022.44.2.179

GEOMETRIC CHARACTERISTICS OF GENERIC LIGHTLIKE SUBMANIFOLDS  

Jha, Nand Kishor (Department of Mathematics, Chandigarh University)
Pruthi, Megha (Department of Mathematics, Sri Guru Teg Bahadur Khalsa College)
Kumar, Sangeet (Department of Mathematics, Sri Guru Teg Bahadur Khalsa College)
Kaur, Jatinder (Department of Mathematics, Chandigarh University)
Publication Information
Honam Mathematical Journal / v.44, no.2, 2022 , pp. 179-194 More about this Journal
Abstract
In the present study, we investigate generic lightlike submanifolds of indefinite nearly Kaehler manifolds. After proving the existence of generic lightlike submanifolds in an indefinite generalized complex space form, a non-trivial example of this class of submanifolds is discussed. Then, we find a characterization theorem enabling the induced connection on a generic lightlike submanifold to be a metric connection. We also derive some conditions for the integrability of distributions defined on generic lightlike submanifolds. Further, we discuss the non-existence of mixed geodesic generic lightlike submanifolds in a generalized complex space form. Finally, we investigate totally umbilical generic lightlike submanifolds and minimal generic lightlike submanifolds of an indefinite nearly Kaehler manifold.
Keywords
Totally umbilical lightlike submanifold; minimal lightlike submanifold; metric connection; generalized complex space form;
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Times Cited By KSCI : 2  (Citation Analysis)
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