A Weierstrass type representation for minimal surfaces in Sol

Inoguchi, Jun-ichi; Lee, Sungwook

doi:10.1090/S0002-9939-08-09161-2

A Weierstrass type representation for minimal surfaces in Sol
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by Jun-ichi Inoguchi and Sungwook Lee PDF

Proc. Amer. Math. Soc. 136 (2008), 2209-2216 Request permission

Abstract:

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

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