SOME CLASSIFICATIONS OF LORENTZIAN SURFACES WITH FINITE TYPE GAUSS MAP IN THE MINKOWSKI 4-SPACE


Turgay N. C.

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.99, ss.415-427, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 99 Konu: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1017/s1446788715000208
  • Dergi Adı: JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.415-427

Özet

In this paper we study the Lorentzian surfaces with finite type Gauss map in the four-dimensional Minkowski space. First, we obtain the complete classification of minimal surfaces with pointwise 1-type Gauss map. Then, we get a classification of Lorentzian surfaces with nonzero constant mean curvature and of finite type Gauss map. We also give some explicit examples.