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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Main Author: Dae Ho Jin
Format: Article
Language:English
Published: Wiley 2015-01-01
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.
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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