A metric property of umbilic points
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Data
2003
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Resumo
In the space of cubic forms of surfaces, regarded as a G-space and endowed with a natural invariant
metric, the ratio of umbilic points with a negative index to those with a positive index is evaluated
in terms of the asymmetry of the metric, defined here. This work contains also a section with
references pertinent to umbilic points and one with a discussion of a connection of the above
defined ratio with that reported in 1977 by Berry and Hannay in the domain of Statistical Physics.
Descrição
Palavras-chave
Umbilic point, Principal curvature lines, Ponto umbílico, Linhas de curvaturas principais
Citação
GARCIA, Ronaldo; SOTOMAYOR, Jorge. A metric property of umbilic points. Anais da Academia Brasileira de Ciências, Rio de Janeiro, v. 75, n. 4, p. 405-413, 2003.