New classes of null hypersurfaces in indefinite Sasakian space-forms

2019/07/10 by Samuel Ssekajja, Ssekajja, Samuel · 1 citation
Mathematics · #53C25 #53C40 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1907.05721

openalex publication_date 2019/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce two classes of null hypersurfaces of an indefinite Sasakian manifold, (M, ϕ,ζ, η), tangent to the characteristic vector field ζ, called; \it contact screen conformal and \it contact screen umbilic null hypersurfaces. These hypersurfaces come in to fill the existing gap in screen conformal and screen totally umbilic null hypersurfaces. We prove that such hypersurfaces are contained in indefinite Sasakian space forms of constant ϕ-sectional curvature of -3.

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• On the geometry of null hypersurfaces of indefinite complex contact manifolds

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