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

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Abstract

The lightlike geometry of codimension two spacelike submanifolds in Lorentz–Minkowski space has been developed by Izumiya and Romero Fuster (Selecta Math (N.S.) 13:23–55, 2007) 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., marginally trapped surfaces) in Minkowski space-time from the view point of the lightlike geometry.

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Authors and Affiliations

  1. National Institute of Technology, Miyakonojo College, Miyakonojo, 885-8567, Japan

    Atsufumi Honda

  2. Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

    Shyuichi Izumiya

Authors
  1. Atsufumi Honda
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  2. Shyuichi Izumiya
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Corresponding author

Correspondence to Shyuichi Izumiya.

Additional information

This work was partly supported by the Grant-in-Aid for JSPS Fellows, The Ministry of Education, Culture, Sports, Science and Technology, Japan.

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Honda, A., Izumiya, S. The lightlike geometry of marginally trapped surfaces in Minkowski space-time. J. Geom. 106, 185–210 (2015). https://doi.org/10.1007/s00022-015-0266-2

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  • DOI: https://doi.org/10.1007/s00022-015-0266-2

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