On contact screen conformal null submanifolds

Samuel Ssekajja

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arXiv · 1911.02956

On contact screen conformal null submanifolds

Samuel Ssekajja

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Abstract

First, we prove that indefinite Sasakian manifolds do not admit any screen conformal $r$-null submanifolds, tangent to the structure vector field. We, therefore, define a special class of null submanifolds, called; {\it contact screen conformal} $r$-null submanifold of indefinite Sasakian manifolds. Several characterization results, on the above class of null submanifolds, are proved. In particular, we prove that such null submanifolds exist in indefinite Sasakian space forms of constant holomorphic sectional curvatures of $-3$.

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BibTeX RIS

Samuel Ssekajja. 2019-11-06. On contact screen conformal null submanifolds. https://arxiv.org/abs/1911.02956

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