Mestrado em Matemática (IME)
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Navegando Mestrado em Matemática (IME) por Assunto "1.Calotas Esféricas 2.Curvatura Média 3.Fórmula de Equilíbrio"
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Item Sobre uma caracterização de pequena calota esférica(Universidade Federal de Goiás, 2011-02-18) DIAS, Diogo Gonçalves; FERREIRA, Walterson Pereira; http://lattes.cnpq.br/9150818921025647It is known that small spherical caps are the only compact surfaces with constant mean curvature H 6= 0 graphics whose boundary is a round circle. This characterization is a partial answer to one of the conjectures of the spherical cap and its classic demonstration involves the Maximum Principle for surfaces with constant mean curvature. What we re doing this work is to give a new proof for this characterization of small spherical cap without the use of the Principle of Maximum. In addition, we make statements alternatives other results related to Conjecture, whenever possible.