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

Samuel Ssekajja

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arXiv · 2403.10531

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

Samuel Ssekajja

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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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BibTeX RIS

Samuel Ssekajja. 2024-01-22. Non-existence of certain lightlike hypersurfaces of an indefinite Sasakian manifold. https://arxiv.org/abs/2403.10531

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