The Weierstrass-Enneper Representation using hodographic coordinates on a minimal surface

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dc.creatorDey, Rukmini
dc.date2003-09-20
dc.date2004-04-03
dc.date.accessioned2026-07-07T05:01:20Z
dc.date.available2026-07-07T05:01:20Z
dc.descriptionIn this paper we obtain the general solution to the minimal surface equation, namely its local Weierstrass-Enneper representation, by using a system of hodographic coordinates. This is done by using the method of solving the Born-Infeld equations by Whitham. We directly compute conformal coordinates on the minimal surface which give the Weierstrass-Enneper representation. From this we derive the hodographic coordinate $ρ\in D \subset {\CC}$ and $σ$ its complex conjugate which enables us to write the Weierstrass-Enneper representation in a new way.
dc.description5-pages, semi-expository article, published in Proceedings of the Indian Academy of Sciences, 2003 (an electronic journal)
dc.identifierhttps://arxiv.org/abs/math/0309340
dc.identifierhttp://arxiv.org/abs/math/0309340
dc.identifierProc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 2, May 2003, pp. 189-193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68630
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.titleThe Weierstrass-Enneper Representation using hodographic coordinates on a minimal surface
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