Bour's theorem on the gauss map in 3-Euclidean space
Hacettepe Journal of Mathematics and Statistics, vol.39, no.4, pp.515-525, 2010 (SCI-Expanded, Scopus, TRDizin)
- 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.