Normalized Hypersurfaces in Contact Lorentzian Manifolds

Document Type : Original Article

Author

Sunil Kumar Chanyal

Department Of Mathematics D S B Campus, Kumaun University Nainital

10.22034/kjm.2025.496717.3416

Abstract

The aim of the paper is to study normalized null hypersurfaces in Lorentzian manifolds equipped with an almost contact structure using rigging technique. We show that the leaves of integrable screen distribution admit a Sasakian structure. Some theorems for the normalized hypersurfaces are obtained when the ambient manifold is endowed with a Sasakian structure. We also investigate the integrability conditions of various distributions evolving the hypersurface.

Keywords

almost contact Lorentzian manifold

rigging vector field

lightlike hypersurfaces

screen distribution

Subjects

• 53 Differential geometry

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