Minimal Surface Linear Combinatoin Theorem

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dc.creatorDorff, Michael
dc.creatorTaylor, Stephen
dc.date2006-10-24
dc.date.accessioned2026-07-07T07:29:22Z
dc.date.available2026-07-07T07:29:22Z
dc.descriptionGiven two univalent harmonic mappings $f_1$ and $f_2$ on $\mathbb{D}$, which lift to minimal surfaces via the Weierstrass-Enneper representation theorem, we give necessary and sufficient conditions for $f_3=(1-s)f_1+sf_2$ to lift to a minimal surface for $s\in[0,1]$. We then construct such mappings from Enneper's surface to Scherk's singularly periodic surface, Sckerk's doubly periodic surface to the catenoid, and the 4-Enneper surface to the 4-noid.
dc.identifierhttps://arxiv.org/abs/math/0610706
dc.identifierhttp://arxiv.org/abs/math/0610706
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118078
dc.subjectDifferential Geometry
dc.titleMinimal Surface Linear Combinatoin Theorem
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