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arXiv · 1403.2853

Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space

Shyuichi Izumiya
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Abstract

We introduce the totally absolute lightcone curvature for a spacelike submanifold with general codimension and investigate global properties of this curvature. One of the consequences is that the Chern-Lashof type inequality holds. Then the notion of lightlike tightness is naturally induced.

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Shyuichi Izumiya. 2014-03-12. Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space. https://arxiv.org/abs/1403.2853

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