Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms
Copyright policy )Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms
We study lightlike hypersurfacesMof an indefinite generalized Sasakian space formM-(f1,f2,f3), with indefinite trans-Sasakian structure of type(α,β), subject to the condition that the structure vector field ofM-is tangent toM. 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.
- Department of Mathematics
- Dongguk University Korea (Republic of)
Local submanifolds, Special Riemannian manifolds (Einstein, Sasakian, etc.), Local differential geometry of Lorentz metrics, indefinite metrics, QA1-939, structure vector field, Mathematics
Local submanifolds, Special Riemannian manifolds (Einstein, Sasakian, etc.), Local differential geometry of Lorentz metrics, indefinite metrics, QA1-939, structure vector field, Mathematics
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