Slant geometry of spacelike hypersurfaces in the lightcone

Izumiya S., Yildirim H.

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, vol.63, no.3, pp.715-752, 2011 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.2969/jmsj/06330715
  • Title of Journal : JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
  • Page Numbers: pp.715-752

Abstract

In this paper, we consider one-parameter families of new extrinsic differential geometries on spacelike hypersurfaces in the lightcone. These geometries are constructed by applying two of one-parameter families of Legendrian dualities between pseudo-spheres in Lorentz-Minkowski space. These Legendrian dualities have been recently given as a part of extensions of the mandala of Legendrian dualities in the previous research of the authors.