SLANT LIGHTLIKE SUBMANIFOLDS OF GOLDEN SEMI-RIEMANNIAN MANIFOLDS

Authors

  • A. Yadav Department of Mathematics, Institute of Science, Banaras Hindu University,Varanasi-221005, India Author
  • S. Kumar Department of Mathematics, Institute of Science, Banaras Hindu University,Varanasi-221005, India Author

DOI:

https://doi.org/10.57016/MV-lrbm6444

Keywords:

Golden structure, golden semi-Riemannian manifolds, Gauss and Weingarten formulae, lightlike submanifolds, curvature-invariant

Subjects:

53C15, 53C40, 53C50

Abstract

In this paper, we introduce the notion of slant lightlike submanifold of a golden semi-Riemannian manifold and provide a characterization theorem with some non-trivial examples of such submanifolds. We find necessary and sufficient conditions for integrability of distributions. Finally, we study curvature properties of slant lightlike submanifolds of golden semi-Riemannian manifolds.

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Published

2023-07-15

Issue

Vol. 75 No. 3 (2023): Vol. 75, Issue 3

Section

Articles

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Copyright (c) 2023 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.