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

Autor:	Kaur, Rajinder, Kaur, Jasleen
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry Primary: 53C15 Secondary:53C40 53C50
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.11730 Zobrazit plný text záznamu View this record from Arxiv