On CR-lightlike submanifolds in a golden semi-Riemannian manifold

Mohammad Aamir Qayyoom; Rawan Bossly; Mobin Ahmad; Mohammad Aamir Qayyoom; Rawan Bossly; Mobin Ahmad

doi:10.3934/math.2024636

AIMS Mathematics

2024, Volume 9, Issue 5: 13043-13057. doi: 10.3934/math.2024636

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On CR-lightlike submanifolds in a golden semi-Riemannian manifold

1.
Department of Mathematics and Statistics, Faculty of Science, Integral University, Lucknow-226026, India
2.
Department of Mathematics, College of Science, Jazan University, 82817 Jazan, Saudi Arabia

Received: 16 January 2024 Revised: 21 March 2024 Accepted: 22 March 2024 Published: 08 April 2024
MSC : 53C15, 53C20, 53C40

CR-lightlike submanifolds of a golden semi-Riemannian manifold are the focus of the research presented in this work, which aims to define and investigate these structures. Under the context of a golden semi-Riemannian manifold, we study the properties of geodesic CR-lightlike submanifolds as well as umbilical CR-lightlike submanifolds. In addition, on a golden semi-Riemannian manifold, we find numerous intriguing findings for entirely geodesic and totally umbilical CR-lightlike subamnifolds. Also, we construct an example of a CR-lightlike submanifold of a golden semi-Riemannian manifold.
- golden structure,
- semi-Riemannian manifold,
- CR-lightlike submanifolds,
- totally umbilical,
- geodesic
Citation: Mohammad Aamir Qayyoom, Rawan Bossly, Mobin Ahmad. On CR-lightlike submanifolds in a golden semi-Riemannian manifold[J]. AIMS Mathematics, 2024, 9(5): 13043-13057. doi: 10.3934/math.2024636

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Abstract

CR-lightlike submanifolds of a golden semi-Riemannian manifold are the focus of the research presented in this work, which aims to define and investigate these structures. Under the context of a golden semi-Riemannian manifold, we study the properties of geodesic CR-lightlike submanifolds as well as umbilical CR-lightlike submanifolds. In addition, on a golden semi-Riemannian manifold, we find numerous intriguing findings for entirely geodesic and totally umbilical CR-lightlike subamnifolds. Also, we construct an example of a CR-lightlike submanifold of a golden semi-Riemannian manifold.

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