GENERALIZED CAUCHY-RIEMANN SCREEN PSEUDO-SLANT LIGHTLIKE SUBMANIFOLDS OF INDEFINITE SASAKIAN MANIFOLDS

S.S. Shukla, Pawan Kumar

DOI Number
https://doi.org/10.22190/FUMI220324025S
First page
361
Last page
378

Abstract


This paper deals with the study of generalized Cauchy-Riemann (in short, GCR) screen pseudo-slant lightlike submanifolds of indefinite Sasakian manifolds giving a characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D1, D2, D′1 and D′2 on GCR screen pseudo-slant lightlike submanifolds of indefinite Sasakian manifolds have been obtained. Furthermore, we obtain necessary and sufficient conditions for foliations determined by the above distributions to be totally geodesic.


Keywords

Radical distribution, screen distribution, lightlike transversal vector bundle, screen transversal vector bundle, pseudo-slant lightlike submanifolds, Gauss and Weingarten formulae.

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References


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DOI: https://doi.org/10.22190/FUMI220324025S

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