Superfícies de Bianchi com ângulo de Chebyshev constante
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2010-10-01
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Universidade Federal de Goiás
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The Bianchi surfaces belong to a class of surfaces with negative Gaussian curvature, discovered by generalization of Backlund transformation for surfaces with constant negative Gaussian curvature [3]. Today these areas are studied from the viewpoint of the theory of integrable systems. In this paper we study Bianchi surfaces parameterized by a Generalized Chebyshev net and show that such a surfaces with Chebyshev constant angle is a piece of a right helicoid, see [1].
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BEZERRA, Adriano Cavalcante. Bianchi Surfaces with constant angle of Chebyshev. 2010. 71 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2010.