PSEUDOSYMMETRIC LIGHTLIKE HYPERSURFACES IN INDEFINITE SASAKIAN SPACE FORMS

Sema Kazan; Bayram Ṣahin

doi:10.11948/2016046

2016 Volume 6 Issue 3

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Sema Kazan, Bayram Ṣahin. PSEUDOSYMMETRIC LIGHTLIKE HYPERSURFACES IN INDEFINITE SASAKIAN SPACE FORMS[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 699-719. doi: 10.11948/2016046

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Sema Kazan, Bayram Ṣahin. PSEUDOSYMMETRIC LIGHTLIKE HYPERSURFACES IN INDEFINITE SASAKIAN SPACE FORMS[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 699-719. doi: 10.11948/2016046

PSEUDOSYMMETRIC LIGHTLIKE HYPERSURFACES IN INDEFINITE SASAKIAN SPACE FORMS

Department of Mathematics, Inonu University, 44280, Malatya, Turkey

Abstract

Abstract

We study pseudosymmetric lightlike hypersurfaces of an indefinite Sasakian space form, tangent to the structure vector field. We obtain sufficient conditions for a lightlike hypersurface to be pseudosymmetric, pseudoparallel and Ricci-pseudosymmetric in an indefinite Sasakian space form. We also find certain conditions for a pseudosymmetric lightlike hypersurface of an indefinite Sasakian space form to be totally geodesic and check the effect of Weyl projective pseudosymmetry conditions on the geometry of a lightlike hypersurface of an indefinite Sasakian space form. Moreover we give some physical interpretations of pseudo-symmetry conditions.
- Pseudosymmetric lightlike hypersurface /
- pseudoparallel lightlike hypersurface /
- indefinite Sasakian space form /
- Killing horizon /
- conformal Killing horizon
MSC: 53C25;53C40;53C50

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