Lines of mean curvature on surfaces immersed in \(\mathbb{R}^3\)

DOI10.1007/BF02970862zbMath1086.53002arXivmath/0403500OpenAlexW2036317103MaRDI QIDQ1773860

Jorge Sotomayor, Ronaldo A. Garcia

Publication date: 3 May 2005

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403500

zbMATH Keywords

foliationumbilic pointparabolic curve

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Surfaces in Euclidean and related spaces (53A05) Stability theory for manifolds (58K25)

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On pairs of foliations of a parabolic cross-cap

Cites Work

• Structural stability on two-dimensional manifolds
• Labyrinths in the disc and surfaces
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• Topological equivalence of normally hyperbolic dynamical systems
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• Positive Quadratic Differential Forms and Foliations with Singularities on Surfaces
• On binary differential equations
• On binary differential equations and umbilics
• The Closing Lemma
• Analytic Inequalities
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