Flat surfaces in the Minkowski space E-1(3) with pointwise 1-type Gauss map

Dursun U., Coskun E.

TURKISH JOURNAL OF MATHEMATICS, cilt.36, sa.4, ss.613-629, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.3906/mat-1104-6
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.613-629
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this article, we obtain all nonplanar cylindrical surfaces in the Minkowski space E-1(3) with pointwise 1-type Gauss map of the second kind. We also prove that right circular cones and hyperbolic cones in E-1(3) are the only cones in E-1(3) with pointwise 1-type Gauss map Of the second kind. We conclude that there is no tangent developable surface fully lying in E-1(3) with pointwise 1-type Gauss map of the second kind.