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


Dursun U.

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, cilt.58, sa.3, ss.146-161, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 3
  • Basım Tarihi: 2009
  • Doi Numarası: 10.3176/proc.2009.3.02
  • Dergi Adı: PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.146-161
  • İstanbul Teknik Üniversitesi Adresli: Hayır

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.