Hypersurfaces of hyperbolic space with 1-type Gauss map

Dursun U.

Joint International Conference on Differential Geometry and Dynamical Systems (DGDS) / 6th Conference of the Balkan-Society-of-Geometers (BSG) / 6th Int Colloquium on Mathematics in Engineering and Numerical Physics (MENP - Mathematics Sections), Bucharest, Romanya, 25 - 28 Ağustos 2010, cilt.18, ss.47-55 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 18
  • Basıldığı Şehir: Bucharest
  • Basıldığı Ülke: Romanya
  • Sayfa Sayıları: ss.47-55
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this work we obtain the necessary and sufficient conditions on submanifolds of a pseudo-Euclidean space R-t(m) to have 1-type Gauss map. Then we classify hypersurfaces of a hyperbolic space in Lorentz-Minkowski space R-t(m) with at most two distinct principal curvatures and 1-type Gauss map.