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


Izumiya S., Yildirim H.

TOPOLOGY AND ITS APPLICATIONS, cilt.159, ss.509-518, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 159 Konu: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.topol.2011.09.026
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.509-518

Özet

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.