Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space

• Izumiya, Shyuichi

• Romero Fuster, María del Carmen

• Saji, Kentaro

Abstract

The lightlike hypersurfaces in Lorentz-Minkowski space are of special interest in Relativity Theory. In particular, the singularities of these hypersurfaces provide good models for the Study of different horizon types. We introduce the notion of flatness for these hypersurfaces and study their singularities. The classification result asserts that a generic classification of flat lightlike hypersurfaces is quite different from that of generic lightlike hypersurfaces.

Journal

• Journal of Geometry and Physics

  Journal of Geometry and Physics 59 (11), 1528-1546, 2009-11

  Elsevier B.V.

Keywords

• Flat lightlike hypersurface
• Lightlike flat spacelike surface
• Lorentz-Minkowski space
• Legendrian singularities

Details

• CRID: 1050001339002268416
• NII Article ID: 120001672718
• HANDLE: 2115/39902
• ISSN: 03930440
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles
  • KAKEN