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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/696231 |
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| _version_ | 1832564639587631104 |
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| author | Bilal Eftal Acet Selcen Yüksel Perktaş Erol Kılıç |
| author_facet | Bilal Eftal Acet Selcen Yüksel Perktaş Erol Kılıç |
| author_sort | Bilal Eftal Acet |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-d923d4df6a2d4bd7a6eaa41a66eae307 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-d923d4df6a2d4bd7a6eaa41a66eae3072025-02-03T01:10:39ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/696231696231On Lightlike Geometry of Para-Sasakian ManifoldsBilal Eftal Acet0Selcen Yüksel Perktaş1Erol Kılıç2Faculty of Arts and Sciences, Department of Mathematics, Adıyaman University, 02040 Adıyaman, TurkeyFaculty of Arts and Sciences, Department of Mathematics, Adıyaman University, 02040 Adıyaman, TurkeyFaculty of Arts and Sciences, Department of Mathematics, İnönü University, 44280 Malatya, TurkeyWe 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.http://dx.doi.org/10.1155/2014/696231 |
| spellingShingle | Bilal Eftal Acet Selcen Yüksel Perktaş Erol Kılıç On Lightlike Geometry of Para-Sasakian Manifolds The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/696231 |
| work_keys_str_mv | AT bilaleftalacet onlightlikegeometryofparasasakianmanifolds AT selcenyukselperktas onlightlikegeometryofparasasakianmanifolds AT erolkılıc onlightlikegeometryofparasasakianmanifolds |