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Research Article | Open Access

On geodesic screen generic lightlike submanifolds of locally metallic semi-Riemannian manifolds

Rawan Bossly1, Mohammad Aamir Qayyoom2, Najwa Mohammed Al-Asmari3, Mobin Ahmad2( )
Department of Mathematics, Jazan University, Jazan, Saudi Arabia
Department of Mathematics & Statistics, Integral University, Lucknow, India
Department of Mathematics, King Khalid University, Mohail Aseer, Saudi Arabia
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Abstract

This paper presents the concept of screen generic lightlike submanifolds within the context of locally metallic semi-Riemannian manifolds. Our main focus is on investigating the integrability of different distributions and exploring the properties of geodesic screen generic lightlike submanifolds. Additionally, we demonstrate these ideas with an example of a generic lightlike submanifold on a screen.

Keywords

metallic structuresemi-Riemannian manifoldtotally geodesiclightlike submanifolds
CLC number: 53C15, 53C20, 53C40

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AIMS Mathematics
Volume 10 Issue 9,
September 2025
Pages 22221-22232
DOI: 10.3934/math.2025989

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Cite this article:
Bossly R, Qayyoom MA, Al-Asmari NM, et al. On geodesic screen generic lightlike submanifolds of locally metallic semi-Riemannian manifolds. AIMS Mathematics, 2025, 10(9): 22221-22232. https://doi.org/10.3934/math.2025989

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Received: 08 May 2025
Revised: 30 August 2025
Accepted: 04 September 2025
Published: 25 September 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)