Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space

Izumiya S., Yildirim H.

TOPOLOGY AND ITS APPLICATIONS, vol.159, no.2, pp.509-518, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 159 Issue: 2
  • Publication Date: 2012
  • Doi Number: 10.1016/j.topol.2011.09.026
  • Journal Name: TOPOLOGY AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.509-518
  • Keywords: Legendrian dualities, Lorentz-Minkowski space, Pseudo-spheres, HYPERBOLIC SPACE, HYPERSURFACES, LIGHTCONE, GEOMETRY
  • Istanbul University Affiliated: Yes

Abstract

In this paper we define one-parameter families of Legendrian double fibrations in the products of pseudo-spheres in Lorentz-Minkowski space which are the extensions of four Legendrian double fibrations in the previous research (lzumiya, 2009 [9]). We show that these are contact diffeomorphic to each other. Moreover, we construct one-parameter families of new extrinsic differential geometries on spacelike hypersurfaces in these pseudo-spheres as applications of such extensions of the Legendrian double fibrations. (C) 2011 Elsevier B.V. All rights reserved.