Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms
We study lightlike hypersurfaces M of an indefinite generalized Sasakian space form M-(f1,f2,f3), with indefinite trans-Sasakian structure of type (α,β), subject to the condition that the structure vector field of M- is tangent to M. First we study the general theory for lightlike hypersurfaces of i...
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2015-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2015/259146 |
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author | Dae Ho Jin |
author_facet | Dae Ho Jin |
author_sort | Dae Ho Jin |
collection | DOAJ |
description | We study lightlike hypersurfaces M of an indefinite generalized Sasakian space form M-(f1,f2,f3), with indefinite trans-Sasakian structure of type (α,β), subject to the condition that the structure vector field of M- is tangent to M. First we study the general theory for lightlike hypersurfaces of indefinite trans-Sasakian manifold of type (α,β). Next we prove several characterization theorems for lightlike hypersurfaces of an indefinite generalized Sasakian space form. |
format | Article |
id | doaj-art-7554ef505ec0465d9de33fb61172d5c1 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2015-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-7554ef505ec0465d9de33fb61172d5c12025-02-03T06:08:24ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/259146259146Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space FormsDae Ho Jin0Department of Mathematics, Dongguk University, Gyeongju 780-714, Republic of KoreaWe study lightlike hypersurfaces M of an indefinite generalized Sasakian space form M-(f1,f2,f3), with indefinite trans-Sasakian structure of type (α,β), subject to the condition that the structure vector field of M- is tangent to M. First we study the general theory for lightlike hypersurfaces of indefinite trans-Sasakian manifold of type (α,β). Next we prove several characterization theorems for lightlike hypersurfaces of an indefinite generalized Sasakian space form.http://dx.doi.org/10.1155/2015/259146 |
spellingShingle | Dae Ho Jin Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms Journal of Applied Mathematics |
title | Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms |
title_full | Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms |
title_fullStr | Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms |
title_full_unstemmed | Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms |
title_short | Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms |
title_sort | lightlike hypersurfaces of indefinite generalized sasakian space forms |
url | http://dx.doi.org/10.1155/2015/259146 |
work_keys_str_mv | AT daehojin lightlikehypersurfacesofindefinitegeneralizedsasakianspaceforms |