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arxiv: 1402.4966 · v1 · pith:FSVFJXIAnew · submitted 2014-02-20 · 🧮 math.DG

Bour's spacelike maximal and timelike minimal surfaces in the 3-dimensional Minkowski space

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keywords bourminimaldimensionalmaximalminkowskipropertiesspacesurface
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Bour's minimal surface has remarkable properties in three dimensional Minkowski space. We reveal the definite and indefinite cases of the Bour's surface using Weierstrass representations, and give some differential geometric properties of the astonishing maximal and minimal surfaces.

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