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SOME CLASSIFICATIONS OF LORENTZIAN SURFACES WITH FINITE TYPE GAUSS MAP IN THE MINKOWSKI 4-SPACE
Published online by Cambridge University Press: 13 August 2015
Abstract
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.
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- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 99 , Issue 3 , December 2015 , pp. 415 - 427
- Copyright
- © 2015 Australian Mathematical Publishing Association Inc.
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