Tori Embedded in R3 with Dense Principal Lines

2008/11/02 by Ronaldo Garcia, Garcia, Ronaldo, Jorge Sotomayor +1
Mathematics · #34D30 #37C75 #53A05 #53C12 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #math.DG #math.DS #msc:34D30 #msc:37C75 #msc:53A05 #msc:53C12

paper · pdf · doi:10.48550/arxiv.0811.0199

8 pages, 1 figure

arxiv created 2008/11/02 · arxiv updated 2009/12/01

Abstract

In this paper are given examples of tori T2 embedded in R3 with all their principal lines dense. These examples are obtained by stereographic projection of deformations of the Clifford torus in S3.

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