Hypersurfaces with pointwise 1-type Gauss map in Lorentz-Minkowski space


Dursun U.

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, cilt.58, ss.146-161, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 58 Konu: 3
  • Basım Tarihi: 2009
  • Doi Numarası: 10.3176/proc.2009.3.02
  • Dergi Adı: PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
  • Sayfa Sayıları: ss.146-161

Özet

Hypersurfaces of a Lorentz-Minkowski space L(n+1) with pointwise 1-type Gauss map are characterized. We prove that an oriented hypersurface M(q) in L(n+1) has pointwise 1-type Gauss map of the first kind if and only if M(q) has constant mean curvature and conclude that all oriented isoparametric hypersurfaces in L(n+1) have 1-type Gauss map. Then we classify rational rotation hypersurfaces of L(n+1) with pointwise 1-type Gauss map and give some examples.