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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2007Embargo end date: 01 Jan 2006Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete and Continuous Dynamical Systems, volume 17, pages 293-308 (issn: 1078-0947, eissn: 1553-5231,

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Authors: Garcia, Ronaldo; Sotomayor, Jorge;

doi: 10.3934/dcds.2007.17.293 , 10.48550/arxiv.math/0601246

arXiv: math/0601246

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

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Abstract

In this paper is studied the behavior of lines of curvature near umbilic points that appear generically on surfaces depending on two parameters.

19 pages, 10 figures

Keywords

Mathematics - Differential Geometry, 53C12, 34D30, 53A05, 37C75, Differential Geometry (math.DG), FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems

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