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Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space

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.

preprint2014arXivOpen access
Shyuichi Izumiya
math.DG
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Shyuichi Izumiya

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