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

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

Hacettepe Journal of Mathematics and Statistics, cilt.39, sa.4, ss.515-525, 2010 (SCI-Expanded) identifier

  • 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.