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arxiv: 1809.00228 · v1 · pith:US6NIA2Ynew · submitted 2018-09-01 · 🧮 math.DG

Weierstrass-type representations

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keywords representationssurfacestheoryweierstrass-typebeenclassicalcreatecurvature
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Weierstrass-type representations have been used extensively in surface theory to create surfaces with special curvature properties. In this paper we give a unified description of these representations in terms of classical transformation theory of $\Omega$-surfaces.

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