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On CR-lightlike submanifolds in a golden semi-Riemannian manifold
AIMS Mathematics 2024, 9(5): 13043-13057
Published: 15 May 2024
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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.

Open Access Research Article Issue
Bi-slant lightlike submanifolds of golden semi-Riemannian manifolds
AIMS Mathematics 2023, 8(8): 19526-19545
Published: 15 August 2023
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In this paper, we introduce the notion of a bi-slant lightlike submanifold of a golden semi-Riemannian manifold. We provide two examples. We give some characterizations about the geometry of such submanifolds.

Open Access Research Article Issue
On geodesic screen generic lightlike submanifolds of locally metallic semi-Riemannian manifolds
AIMS Mathematics 2025, 10(9): 22221-22232
Published: 25 September 2025
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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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