Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space
Differential Geometry
2014-03-13 v1
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.
Keywords
Cite
@article{arxiv.1403.2853,
title = {Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space},
author = {Shyuichi Izumiya},
journal= {arXiv preprint arXiv:1403.2853},
year = {2014}
}