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Screen Semi Slant Lightlike Submanifolds of Golden Semi-Riemannian Manifolds

Akhilesh Yadav (1) and Sachin Kumar (2)

(1) Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, India

Email address: akhilesha68@gmail.com

 

(2) Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, India

Email address: sachinkashyapmaths24@gmail.com

Doi : https://doi.org/10.47013/15.4.3

Cited by : Jordan J. Math & Stat., 15 (4A) (2022), 823 - 841

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Received on: April 13, 2021;                                           Accepted on: Dec. 20, 2021

 Abstract. In this paper, we introduce the notion of screen semi slant lightlike submanifold of golden semi-Riemannian manifolds and providing characterization theorem with some non-trivial examples of such submanifolds. We find necessary and sufficient conditions for integrability and totally geodesic foliation of distributions RadTM, D1 and D2.

Keywords: Golden structure, Golden semi-Riemannian manifolds, Lightlike submanifolds, Gauss and Weingarten formulae.