On the Lorentzian minimal surfaces in $\mathbb E^4_1$ with finite type Gauss map

preprint2013arXivOpen access

In this paper, we study the Lorentzian minimal surfaces in the Minkowski space-time with finite type Gauss map. First, we obtain the classification of this type of surfaces with pointwise 1-type Gauss map. Then, we proved that there are no Lorentzian minimal surface in the Minkowski space-time with null 2-type Gauss map.

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On the Lorentzian minimal surfaces in $\mathbb E^4_1$ with finite type Gauss map

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On the Lorentzian minimal surfaces in E14\mathbb E^4_1E14​ with finite type Gauss map

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On the Lorentzian minimal surfaces in $\mathbb E^4_1$ with finite type Gauss map