Indefinite trans-Sasakian manifold of quasi-constant curvature with lightlike hypersurfaces
نویسنده
چکیده
In this paper, we study indefinite trans-Sasakian manifold M̄ of quasi-constant curvature with lightlike hypersurfaces M . We provide several new results on such a manifold M̄ , in which the characteristic 1form θ and the characteristic vector field ζ, defined by (1.1), are identical with the structure 1-form θ and the structure vector field ζ of the indefinite trans-Sasakian structure (J, ζ, θ) of M̄ , respectively. M.S.C. 2010: 53C25, 53C40, 53C50.
منابع مشابه
Lightlike Hypersurfaces of a Trans-Sasakian Manifold with a Quarter-Symmetric Metric Connection
In this paper, we study the geometry of lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection. The main result is a characterization theorem for such a lightlike hypersurface of an indefinite generalized Sasakian space form. Mathematics Subject Classification: 53C25, 53C40, 53C50
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