On Lightlike Geometry of Para-Sasakian Manifolds

We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples. Integrability conditions for the distributions on a s...

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Detalles Bibliográficos
Autores principales: Acet, Bilal Eftal, Yüksel Perktaş, Selcen, Kılıç, Erol
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4032681/
https://www.ncbi.nlm.nih.gov/pubmed/24892072
http://dx.doi.org/10.1155/2014/696231
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author Acet, Bilal Eftal
Yüksel Perktaş, Selcen
Kılıç, Erol
author_facet Acet, Bilal Eftal
Yüksel Perktaş, Selcen
Kılıç, Erol
author_sort Acet, Bilal Eftal
collection PubMed
description We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples. Integrability conditions for the distributions on a screen semi-invariant lightlike hypersurface of para-Sasakian manifolds are investigated. We obtain a para-Sasakian structure on the leaves of an integrable distribution of a screen semi-invariant lightlike hypersurface.
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spelling pubmed-40326812014-06-02 On Lightlike Geometry of Para-Sasakian Manifolds Acet, Bilal Eftal Yüksel Perktaş, Selcen Kılıç, Erol ScientificWorldJournal Research Article We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples. Integrability conditions for the distributions on a screen semi-invariant lightlike hypersurface of para-Sasakian manifolds are investigated. We obtain a para-Sasakian structure on the leaves of an integrable distribution of a screen semi-invariant lightlike hypersurface. Hindawi Publishing Corporation 2014 2014-04-28 /pmc/articles/PMC4032681/ /pubmed/24892072 http://dx.doi.org/10.1155/2014/696231 Text en Copyright © 2014 Bilal Eftal Acet et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Acet, Bilal Eftal
Yüksel Perktaş, Selcen
Kılıç, Erol
On Lightlike Geometry of Para-Sasakian Manifolds
title On Lightlike Geometry of Para-Sasakian Manifolds
title_full On Lightlike Geometry of Para-Sasakian Manifolds
title_fullStr On Lightlike Geometry of Para-Sasakian Manifolds
title_full_unstemmed On Lightlike Geometry of Para-Sasakian Manifolds
title_short On Lightlike Geometry of Para-Sasakian Manifolds
title_sort on lightlike geometry of para-sasakian manifolds
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4032681/
https://www.ncbi.nlm.nih.gov/pubmed/24892072
http://dx.doi.org/10.1155/2014/696231
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