Slant geometry of spacelike hypersurfaces in the lightcone

Izumiya S., Yildirim H.

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, cilt.63, sa.3, ss.715-752, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.2969/jmsj/06330715
  • Dergi Adı: JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.715-752
  • Anahtar Kelimeler: Legendrian dualities, spacelike hypersurfaces, lightcone, Lorentz-Minkowski space, HOROSPHERICAL GEOMETRY, LEGENDRIAN DUALITIES, HYPERBOLIC SPACE, PSEUDO-SPHERES, SURFACES, CONE
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.