Tori embedded in <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:math> with dense principal lines-Reference-Cited by-同舟云学术

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Tori embedded in R3 with dense principal lines

Published:2009-05 Issue:4 Volume:133 Page:348-354
ISSN:0007-4497
Container-title:Bulletin des Sciences Mathématiques
language:en
Short-container-title:Bulletin des Sciences Mathématiques

Author:

Garcia R.,Sotomayor J.

Publisher

Elsevier BV

Subject

General Mathematics

Reference11 articles.

1. Differential Geometry of Curves and Surfaces;do Carmo,1976

2. Leçons sur la Théorie des Surfaces;Darboux,1896

3. Lines of principal curvature on canal surfaces in R3;Garcia;An. Acad. Brasil. Ciênc.,2006

4. Lines of curvature on surfaces, historical comments and recent developments;Garcia;São Paulo J. Math. Sci.,2008

5. Structural stable configurations of lines of principal curvature;Gutierrez;Astérisque,1982

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The index of isolated umbilics on surfaces of non-positive curvature;L’Enseignement Mathématique;2015

2. A family of minimal immersed tori in S3 with dense principal lines;Bulletin des Sciences Mathématiques;2013-03

3. A criterion for the nonexistence of closed leaves in unorientable planar foliations;Journal of Differential Equations;2011-05

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