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

Rawan Bossly; Mohammad Aamir Qayyoom; Najwa Mohammed Al-Asmari; Mobin Ahmad; Rawan Bossly; Mohammad Aamir Qayyoom; Najwa Mohammed Al-Asmari; Mobin Ahmad

doi:10.3934/math.2025989

AIMS Mathematics

2025, Volume 10, Issue 9: 22221-22232. doi: 10.3934/math.2025989

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

1.
Department of Mathematics, Jazan University, Jazan, Saudi Arabia
2.
Department of Mathematics & Statistics, Integral University, Lucknow, India
3.
Department of Mathematics, King Khalid University, Mohail Aseer, Saudi Arabia

Received: 08 May 2025 Revised: 30 August 2025 Accepted: 04 September 2025 Published: 25 September 2025
MSC : 53C15, 53C20, 53C40

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.
- metallic structure,
- semi-Riemannian manifold,
- totally geodesic,
- lightlike submanifolds
Citation: Rawan Bossly, Mohammad Aamir Qayyoom, Najwa Mohammed Al-Asmari, Mobin Ahmad. On geodesic screen generic lightlike submanifolds of locally metallic semi-Riemannian manifolds[J]. AIMS Mathematics, 2025, 10(9): 22221-22232. doi: 10.3934/math.2025989

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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.

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