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arXiv · 2404.00037

On the structure vector field in lightlike hypersurfaces

Samuel Ssekajja
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Abstract

We study lightlike hypersurfaces of an indefinite almost contact metric-manifold $\bar{M}$. We prove that there are only two types of such hypersurfaces, known as ascreen and inascreen, with respect to the position of the structure vector field of $\bar{M}$. We also show that the second class of hypersurfaces naturally admits an almost Hermitian structure.

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Samuel Ssekajja. 2024-03-23. On the structure vector field in lightlike hypersurfaces. https://arxiv.org/abs/2404.00037

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