2007, 17(2): 293-308. doi: 10.3934/dcds.2007.17.293

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

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, Brazil

Received  December 2005 Revised  September 2006 Published  November 2006

This paper studies the behavior of lines of curvature near umbilic points that appear generically on surfaces depending on two parameters.
Citation: Jorge Sotomayor, Ronaldo Garcia. Codimension two umbilic points on surfaces immersed in $R^3$. Discrete & Continuous Dynamical Systems - A, 2007, 17 (2) : 293-308. doi: 10.3934/dcds.2007.17.293
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