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Turkish Journal of Mathematics

Author ORCID Identifier

THÉOPHILE KEMAJOU MBIAKOP: 0000-0002-4605-3744

CYRIAQUE ATINDOGBE: 0000-0001-8346-4027

FERDINAND NGAKEU: 0000-0003-0321-5501

Abstract

We introduce a class of null hypersurfaces of Lorentzian manifolds, namely Codazzi normalized null hyper surfaces, whose (screen) shape operator associated with the rigged vector field is a Codazzi tensor. Several examples are given to support our study. Moreover, we investigate conditions implying that the induced Riemannian screen structure on a Codazzi-type normalized null hypersurface of a Lorentzian space is locally a nontrivial warped product.

DOI

10.55730/1300-0098.3632

Keywords

Normalized null hypersurface, Codazzi tensor

First Page

1

Last Page

22

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Included in

Mathematics Commons

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