Tori embedded in \(\mathbb R^3\) with dense principal lines

DOI10.1016/j.bulsci.2008.11.001zbMath1166.53003arXiv0811.0199OpenAlexW2963554565MaRDI QIDQ1028268

Ronaldo A. Garcia, Jorge Sotomayor

Publication date: 30 June 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0199

zbMATH Keywords

Clifford torusrecurrencevariational equationprincipal curvature lines

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Foliations (differential geometric aspects) (53C12) Surfaces in Euclidean and related spaces (53A05) Stability theory for smooth dynamical systems (37C75)

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Cites Work

• Lines of curvature on surfaces, historical comments and recent developments
• Lines of principal curvature on canal surfaces in R³
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