Bour's theorem on the gauss map in 3-Euclidean space

Güler E., YAYLI Y., Hacisalihoǧlu H. H.

Hacettepe Journal of Mathematics and Statistics, vol.39, no.4, pp.515-525, 2010 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 4
  • Publication Date: 2010
  • Journal Name: Hacettepe Journal of Mathematics and Statistics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.515-525
  • Keywords: Gauss map, Helicoidal surface, Laplace-beltrami operator, Minimal harmonic surface, Rotational surface
  • Ankara University Affiliated: Yes

Abstract

In this paper some relations are established between the Laplace-Beltrami operator and the curvatures of helicoidal surfaces in 3-Euclidean space. In addition, Bour's theorem on the Gauss map, and some special examples are given.