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

Izumiya S., Yildirim H.

TOPOLOGY AND ITS APPLICATIONS, cilt.159, sa.2, ss.509-518, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 159 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.topol.2011.09.026
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.509-518
  • Anahtar Kelimeler: Legendrian dualities, Lorentz-Minkowski space, Pseudo-spheres, HYPERBOLIC SPACE, HYPERSURFACES, LIGHTCONE, GEOMETRY
  • İstanbul Üniversitesi Adresli: Evet

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.