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

作者：Turgay Nurettin Cenk^*

来源：Journal of the Australian Mathematical Society, 2015, 99(3): 415-427.

DOI：10.1017/S1446788715000208

• Minkowski space-time
• Lorentzian surfaces
• constant mean curvature
• finite type mappings
• pointwise 1-type Gauss map

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.

• 出版日期2015-12