Non-existence of certain lightlike hypersurfaces of an indefinite Sasakian manifold

2024/01/22 by Samuel Ssekajja, Ssekajja, Samuel
Mathematics · #53C25 #53C40 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2403.10531

openalex publication_date 2024/01/22 · openalex created_date 2024/03/20 · openalex updated_date 2026/07/28

Abstract

Here, we consider a lightlike hypersurface, tangent to the structure vector field, of an indefinite Sasakian manifold. We prove that no such a hypersurface can either have parallel or recurrent second fundamental forms. In addition to the above, we also prove that no such a hypersurface may have parallel or recurrent induced structural tensors.

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