Screen Generic Lightlike Submanifolds of a Locally Bronze Semi-Riemannian Manifold equipped with an (l,m)-type Connection

2024/09/18 by Rajinder Kaur, Kaur, Rajinder, Jasleen Kaur +1
Mathematics · Medicine · #53C50 #Bone health and osteoporosis research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Primary: 53C15 #Secondary:53C40

paper · pdf · doi:10.48550/arxiv.2409.11730

openalex publication_date 2024/09/18 · openalex created_date 2024/10/25 · openalex updated_date 2026/07/28

Abstract

The present paper introduces the geometry of screen generic lightlike submanifolds of a locally bronze semi-Riemannian manifolds endowed with an (l,m)-type connection. The characterization theorems on geodesicity of such submanifolds with respect to the integrability and parallelism of the distributions are provided. It is proved that there exists no coisotropic , isotropic or totally proper screen generic lightlike submanifold of a locally bronze semi-Riemannian manifold. Assertions for the smooth transversal vector fields in totally umbilical proper screen generic lightlike submanifold are obtained. The structure of a minimal screen generic lightlike submanifold of a locally bronze semi-Riemannian manifold is detailed with an example.

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