Codimension two umbilic points on surfaces  immersed  in $R^3$

Jorge Sotomayor; Ronaldo Garcia

doi:10.3934/dcds.2007.17.293

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2007, Volume 17, Issue 2: 293-308. Doi: 10.3934/dcds.2007.17.293

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Codimension two umbilic points on surfaces immersed in $R^3$

Jorge Sotomayor^1, and
Ronaldo Garcia^2,

1.
Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, 05508-900 São Paulo, S.P.
2.
Instituto de Matemática e Estatística, Universidade Federal de Goiás, CEP 74001-970, Caixa Postal 131, Goiânia, GO

Received: November 30, 2005

Revised: August 31, 2006

Published: April 2007

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Abstract

This paper studies the behavior of lines of curvature near umbilic points that appear generically on surfaces depending on two parameters.

Keywords:

umbilic point,
principal curvature lines.

Mathematics Subject Classification: 53C12, 34D30, 53A05, 37C75.

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