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arxiv: 1311.1961 · v1 · pith:TGGD7ZMRnew · submitted 2013-11-07 · 🧮 math.DG

On the Lorentzian minimal surfaces in mathbb E⁴₁ with finite type Gauss map

classification 🧮 math.DG
keywords typegausslorentzianminimalsurfacesfiniteminkowskispace-time
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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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