On the Geometry of the Null Tangent Bundle of a Pseudo-Riemannian Manifold-Reference-Cited by-同舟云学术

On the Geometry of the Null Tangent Bundle of a Pseudo-Riemannian Manifold

Published:2023-09-22 Issue:10 Volume:12 Page:903
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Abbassi Mohamed Tahar Kadaoui¹^ORCID,Boulagouaz Khadija¹,Calvaruso Giovanni²^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, B.P.1796-Atlas, Fez 30000, Morocco

2. Department of Mathematics and Physics “Ennio De Giorgi”, University of Salento, Prov. Lecce-Arnesano, 73100 Lecce, Italy

Abstract

When we consider a non-definite pseudo-Riemannian manifold, we obtain lightlike tangent vectors that constitute the null tangent bundle, whose fibers are lightlike cones in the corresponding tangent spaces. In this paper, we define and study a class of “g-natural” metrics on the tangent bundle of a pseudo-Riemannian manifold and we investigate the geometry of the null tangent bundle as a lightlike hypersurface equipped with an induced g-natural metric.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/10/903/pdf

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