Generalized Bour's theorem

GÜLER E., YAYLI Y.

KUWAIT JOURNAL OF SCIENCE, cilt.42, sa.1, ss.79-90, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 1
  • Basım Tarihi: 2015
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.79-90
  • Anahtar Kelimeler: Gauss map, gaussian curvature, helicoidal surface, mean curvature, rotational surface, SURFACES
  • Ankara Üniversitesi Adresli: Evet

Özet

We give the classical isometric minimal helicoidal and rotational surfaces using generalized Bour's theorem in Euclidean 3-space. Furthermore, we investigate the minimality and have same Gauss map of the surfaces.