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 İndekslerine Giren Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Konu: 3
  • Basım Tarihi: 2010
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Sayfa Sayıları: ss.469-478

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.