Geometry of world sheets in Lorentz-Minkowski space

2014/11/26 by Shyuichi Izumiya, Izumiya, Shyuichi
Mathematics · #53C40 #58K05 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C40 #msc:58K05

paper · pdf · doi:10.48550/arxiv.1411.7219

arXiv admin note: text overlap with arXiv:1410.8678

arxiv created 2014/11/26 · arxiv updated 2014/11/27

Abstract

A world sheet in Lorentz-Minkowski space is a timelike submanifold consisting of a one-parameter family of spacelike submanifolds in Lorentz-Minkowski space. In this paper we investigate differential geometry of world sheets in Lorentz-Minkowski space as an application of the theory of big wave fronts.

Citations

• The theory of graph-like Legendrian unfoldings and its applications

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