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)

 PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader253Kb

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 lightcone Gauss map, lightcone Killing-Lipschitz curvature, Chern-Lashof type Theorem, lightlike tight spacelike immersion 53-xx DIFFERENTIAL GEOMETRY 2186