New classes of null hypersurfaces in indefinite Sasakian space-forms

Samuel Ssekajja

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arXiv · 1907.05721

New classes of null hypersurfaces in indefinite Sasakian space-forms

Samuel Ssekajja

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Abstract

We introduce two classes of null hypersurfaces of an indefinite Sasakian manifold, $(\overline{M}, \overlineϕ,ζ, η)$, 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 $\overlineϕ$-sectional curvature of $-3$.

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BibTeX RIS

Samuel Ssekajja. 2019-07-10. New classes of null hypersurfaces in indefinite Sasakian space-forms. https://arxiv.org/abs/1907.05721

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