Flat Surfaces in the Euclidean Space E-3 with Pointwise 1-Type Gauss Map

Dursun U.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.33, sa.3, ss.469-478, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 3
  • Basım Tarihi: 2010
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.469-478
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

In this article we prove that a fiat nonplanar surface in the Euclidean space E-3 with pointwise 1-type Gauss map of the second kind is either a right circular cone or a cylinder such that the curvature of the base curve satisfies a specific differential equation. We conclude that there is no tangent developable surface in E-3 with pointwise 1-type Gauss map of the second kind.