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arXiv · 1609.00642

On total mean curvatures of foliated half-lightlike submanifolds in semi-Riemannian manifolds

Fortuné Massamba·Samuel Ssekajja
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Abstract

We derive total mean curvature integration formulae of a three co-dimensional foliation $\mathcal{F}^{n}$ on a screen integrable half-lightlike submanifold, $M^{n+1}$ in a semi-Riemannian manifold $\overline{M}^{n+3}$. We give generalized differential equations relating to mean curvatures of a totally umbilical half-lightlike submanifold admitting a totally umbilical screen distribution, and show that they are generalizations of those given by [4].

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Fortuné Massamba, Samuel Ssekajja. 2016-09-01. On total mean curvatures of foliated half-lightlike submanifolds in semi-Riemannian manifolds. https://arxiv.org/abs/1609.00642

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