A transformação de Darboux-Bianchi para superfícies isotérmicas em R³

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Universidade Federal de São Carlos

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In this work we develop the transformation theory for isothermic surfaces in Euclidean space IR3 due to Darboux and Bianchi. As a consequence, we describe a method for constructing new solutions of the nonlinear system of partial diferential equations associated to an isothermic surface in IR3 starting from a given one.

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CANEVARI, Samuel da Cruz. A transformação de Darboux-Bianchi para superfícies isotérmicas em R³. 2004. 120 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de São Carlos, São Carlos, 2004.

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