TY - JOUR
T1 - Some classifications of Lorentzian surfaces with finite type gauss map in the Minkowski 4-space
AU - Turgay, Nurettin Cenk
N1 - Publisher Copyright:
© 2015 Australian Mathematical Publishing Association Inc.
PY - 2015/10/30
Y1 - 2015/10/30
N2 - 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.
AB - 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.
KW - constant mean curvature
KW - finite type mappings
KW - Lorentzian surfaces
KW - Minkowski space-time
KW - pointwise 1-type Gauss map
UR - http://www.scopus.com/inward/record.url?scp=84949100977&partnerID=8YFLogxK
U2 - 10.1017/S1446788715000208
DO - 10.1017/S1446788715000208
M3 - Article
AN - SCOPUS:84949100977
SN - 1446-7887
VL - 99
SP - 415
EP - 427
JO - Journal of the Australian Mathematical Society
JF - Journal of the Australian Mathematical Society
IS - 3
ER -