Codimension two Umbilic points on Surfaces Immersed in R³

2006/01/11 by Ronaldo Garcia, Garcia, Ronaldo, Jorge Sotomayor +1
Mathematics · #34D30 #37C75 #53A05 #53C12 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematics and Applications #advanced mathematical theories #math.DG #math.DS #msc:34D30 #msc:37C75 #msc:53A05 #msc:53C12

paper · pdf · doi:10.48550/arxiv.math/0601246

19 pages, 10 figures

arxiv created 2006/01/11 · openalex publication_date 2006/01/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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