Transformações de Ribaucour para hipersuperfícies em formas espaciais
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Data
2008-02-29
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Universidade Federal de Goiás
Resumo
The theory of Ribaucour transformations for hypersurfaces in space forms is presented.
A method to obtaining linear Weingarten surfaces in a three-dimensional space form is
showed. By applying the theory to the cylinder, we obtain a two-parameter family of linear
Weingarten surfaces. A new one-parameter family of complete constant mean curvature
surfaces in the unit sphere, locally associated to the flat torus, is obtained. We construct
new families of constant mean curvature 1 (cmc-1) surfaces which are locally associated
to Enneper cousin.
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SOUTO, Leonardo Antônio. Ribaucour transformations for hypersurfaces in space forms. 2008. 94 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2008.