Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds
The present paper focuses on the study of noninvariant hypersurfaces of a nearly trans-Sasakian manifold equipped with (f,g,u,v,λ)-structure. Initially some properties of this structure have been discussed. Further, the second fundamental forms of noninvariant hypersurfaces of nearly trans-Sasakian...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/657690 |
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| author | Satya Prakash Yadav Shyam Kishor |
| author_facet | Satya Prakash Yadav Shyam Kishor |
| author_sort | Satya Prakash Yadav |
| collection | DOAJ |
| description | The present paper focuses on the study of noninvariant hypersurfaces of a nearly trans-Sasakian manifold equipped with (f,g,u,v,λ)-structure. Initially some properties of this structure have been discussed. Further, the second fundamental forms of noninvariant hypersurfaces of nearly trans-Sasakian manifolds and nearly cosymplectic manifolds with (f,g,u,v,λ)-structure have been calculated provided f is parallel. In addition, the eigenvalues of f have been found and proved that a noninvariant hypersurface with (f,g,u,v,λ)-structure of nearly cosymplectic manifold with contact structure becomes totally geodesic. Finally the paper has been concluded by investigating the necessary condition for totally geodesic or totally umbilical noninvariant hypersurface with (f,g,u,v,λ)-structure of a nearly trans-Sasakian manifold. |
| format | Article |
| id | doaj-art-0e786b261f07437f8af899282ac28ae5 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0e786b261f07437f8af899282ac28ae52025-02-03T01:10:41ZengWileyJournal of Mathematics2314-46292314-47852014-01-01201410.1155/2014/657690657690Noninvariant Hypersurfaces of a Nearly Trans-Sasakian ManifoldsSatya Prakash Yadav0Shyam Kishor1Department of Applied Science, Shambhunath Institute of Engineering and Technology, Allahabad 211 012, IndiaDepartment of Mathematics & Astronomy, University of Lucknow, Lucknow 226 007, IndiaThe present paper focuses on the study of noninvariant hypersurfaces of a nearly trans-Sasakian manifold equipped with (f,g,u,v,λ)-structure. Initially some properties of this structure have been discussed. Further, the second fundamental forms of noninvariant hypersurfaces of nearly trans-Sasakian manifolds and nearly cosymplectic manifolds with (f,g,u,v,λ)-structure have been calculated provided f is parallel. In addition, the eigenvalues of f have been found and proved that a noninvariant hypersurface with (f,g,u,v,λ)-structure of nearly cosymplectic manifold with contact structure becomes totally geodesic. Finally the paper has been concluded by investigating the necessary condition for totally geodesic or totally umbilical noninvariant hypersurface with (f,g,u,v,λ)-structure of a nearly trans-Sasakian manifold.http://dx.doi.org/10.1155/2014/657690 |
| spellingShingle | Satya Prakash Yadav Shyam Kishor Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds Journal of Mathematics |
| title | Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds |
| title_full | Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds |
| title_fullStr | Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds |
| title_full_unstemmed | Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds |
| title_short | Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds |
| title_sort | noninvariant hypersurfaces of a nearly trans sasakian manifolds |
| url | http://dx.doi.org/10.1155/2014/657690 |
| work_keys_str_mv | AT satyaprakashyadav noninvarianthypersurfacesofanearlytranssasakianmanifolds AT shyamkishor noninvarianthypersurfacesofanearlytranssasakianmanifolds |