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A Weierstrass type representation for minimal surfaces in Sol

Jun-ichi Inoguchi·Sungwook Lee
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Abstract

The normal Gauss map of a minimal surface in the model space Sol of solvegeometry is a harmonic map with respect to a certain singular Riemannian metric on the extended complex plane.

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Jun-ichi Inoguchi, Sungwook Lee. 2006-09-26. A Weierstrass type representation for minimal surfaces in Sol. https://arxiv.org/abs/math/0609722

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