Dept. Math, Hokkaido Univ. EPrints Server

Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space

Preprint Series # 1002
Izumiya, Shyuichi Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space. (10 March 2012); (Submitted)

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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. Moreover, the lightcone Willmore conjecture is proposed.

Item Type:Preprint
Uncontrolled Keywords:lightcone Gauss map, lightcone Killing-Lipschitz curvature, Chern-Lashof type Theorem, lightlike tight spacelike immersion
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:2186