Dept. Math, Hokkaido Univ. EPrints Server

The lightlike geometry of marginally trapped surfaces in Minkowski space-time

Preprint Series # 1004
Honda, Atsufumi and Izumiya, Shyuichi The lightlike geometry of marginally trapped surfaces in Minkowski space-time. (13 April 2012); (Submitted)

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Abstract

The lightlike geometry of codimension two spacelike submanifolds in Lorentz-Minkowski space has been developed in\cite{IR07} which is a natural Lorentzian analogue of the classical Euclidean differential geometry of hypersurfaces. In this paper we investigate a special class of surfaces (i.e., {\it marginally trapped surfaces}) in Minkowski space-time from the view point of the lightlike geometry.

Item Type:Preprint
Uncontrolled Keywords:The lightlike geometry, Minkowski space-time, Marginally trapped surface, a variational problem
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:2192