Bour's theorem on the gauss map in 3-Euclidean space
Hacettepe Journal of Mathematics and Statistics, cilt.39, sa.4, ss.515-525, 2010 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39 Sayı: 4
- Basım Tarihi: 2010
- Dergi Adı: Hacettepe Journal of Mathematics and Statistics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.515-525
- Anahtar Kelimeler: Gauss map, Helicoidal surface, Laplace-beltrami operator, Minimal harmonic surface, Rotational surface
- Ankara Üniversitesi Adresli: Evet
Özet
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.