A combined flow of maps and domain metrics is constructed to converge to half-harmonic boundary maps whose harmonic extensions are free boundary branched minimal immersions.
Tromba,Teichm¨ uller Theory in Riemannian Geometry, Lectures in Mathematics, ETH Z¨ urich
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Flowing to free boundary minimal surfaces
A combined flow of maps and domain metrics is constructed to converge to half-harmonic boundary maps whose harmonic extensions are free boundary branched minimal immersions.