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Keywords = almost productlike manifold

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14 pages, 287 KiB  
Article
Concircular Vector Fields on Radical Anti-Invariant Lightlike Hypersurfaces of Almost Product-like Statistical Manifolds
by Esra Erkan
Symmetry 2023, 15(8), 1531; https://doi.org/10.3390/sym15081531 - 3 Aug 2023
Viewed by 954
Abstract
The motivation of the present study is to describe the main relations of the radical anti-invariant lightlike hypersurfaces of almost product-like statistical manifolds. We provide concircular vector fields on radical anti-invariant lightlike hypersurfaces and obtain some results involving these vector fields. Full article
15 pages, 297 KiB  
Article
Lightlike Hypersurfaces of Almost Productlike Semi-Riemannian Manifolds
by Ömer Aksu, Mehmet Gülbahar and Esra Erkan
Symmetry 2023, 15(1), 77; https://doi.org/10.3390/sym15010077 - 27 Dec 2022
Cited by 3 | Viewed by 1636
Abstract
The main purpose of this paper is to investigate lightlike hypersurfaces of almost productlike semi-Riemannian manifolds. For this purpose, screen-semi-invariant, screen-invariant, radical-anti-invariant, and radical-invariant lightlike hypersurfaces of almost productlike semi-Riemannian manifolds are introduced and some examples of these classifications are presented. Furthermore, various [...] Read more.
The main purpose of this paper is to investigate lightlike hypersurfaces of almost productlike semi-Riemannian manifolds. For this purpose, screen-semi-invariant, screen-invariant, radical-anti-invariant, and radical-invariant lightlike hypersurfaces of almost productlike semi-Riemannian manifolds are introduced and some examples of these classifications are presented. Furthermore, various characterizations dealing screen semi-invariant lightlike hypersurfaces are obtained. Full article
(This article belongs to the Special Issue Symmetry and Its Application in Differential Geometry and Topology)
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