Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space

2014/03/12 by Shyūichi Izumiya, Shyuichi Izumiya, Izumiya, Shyuichi
Mathematics · Physics and Astronomy · #53C40 #53C42 #53C80 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #math.DG #msc:53C40 #msc:53C42 #msc:53C80

paper · pdf · doi:10.48550/arxiv.1403.2853

arxiv created 2014/03/12 · openalex publication_date 2014/03/12 · arxiv updated 2014/03/13 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

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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