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


Dursun U.

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, vol.58, no.3, pp.146-161, 2009 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 58 Issue: 3
  • Publication Date: 2009
  • Doi Number: 10.3176/proc.2009.3.02
  • Title of Journal : PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
  • Page Numbers: pp.146-161

Abstract

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.