SURFACES IN E-3 WITH L-1-POINTWISE 1-TYPE GAUSS MAP

Kim Y. H., Turgay N. C.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.50, sa.3, ss.935-949, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.4134/bkms.2013.50.3.935
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.935-949
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we study surfaces in E-3 whose Gauss map G satisfies the equation square G = f(G + C) for a smooth function f and a constant vector C, where square stands for the Cheng-Yau operator. We focus on surfaces with constant Gaussian curvature, constant mean curvature and constant principal curvature with such a property. We obtain some classification and characterization theorems for these kinds of surfaces. Finally, we give a characterization of surfaces whose Gauss map G satisfies the equation square G = lambda(G + C) for a constant lambda and a constant vector C.