Half-Lightlike Submanifolds of Metallic semi-Riemannian Manifolds

Year 2022, , 202 - 213, 31.10.2022

Bilal Eftal Acet , Feyza Esra Erdoğan , Selcen Yüksel Perktaş

https://doi.org/10.36890/iejg.1085596

Cited By: 1

Abstract

The aim of the present paper is to study half-lightlike submanifolds of a semi-Riemannian
manifold endowed with a metallic structure. We introduce a special half-lightlike submanifold
called screen semi-invariant half lightlike submanifold in metallic semi-Riemannian manifolds
and give an example. We present necessary and sufficient conditions for the distributions
included in the definition of such half lightlike submanifolds to be integrable. Moreover, we
analyze geometry of a screen semi-invariant half lightlike submanifold in a locally metallic semi-
Riemannian manifold when it is totally geodesic and screen conformal.

Keywords

Metallic structure, lightlike submanifolds, half lightlike submanifolds

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