Geometric mean curvature lines on surfaces immersed in \(\mathbb{R}^3\)

DOI10.5802/afst.1028zbMath1052.53008arXivmath/0302194OpenAlexW1991864783MaRDI QIDQ1432063

Jorge Sotomayor, Ronaldo A. Garcia

Publication date: 14 June 2004

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302194

zbMATH Keywords

surfacestructural stabilityEuclidean spacesingularityumbilic pointtransversal foliationparabolic curvegeometric mean curvature

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Stability theory for manifolds (58K25)

Related Items

Geometric mean curvature lines on surfaces immersed in \(\mathbb{R}^3\) ⋮ Bifurcations of umbilic points and related principal cycles ⋮ Lines of mean curvature on surfaces immersed in \(\mathbb{R}^3\) ⋮ The Taylor expansion of the exponential map and geometric applications ⋮ A metric property of umbilic points ⋮ Elipsoid Monge’a i konfiguracje linii krzywiznowych na powierzchniach i przestrzeniach euklidesowych – uwagi historyczne

Cites Work

• Structural stability on two-dimensional manifolds
• Topological equivalence of normally hyperbolic dynamical systems
• Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in \(\mathbb{R}^3\)
• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Geometric mean curvature lines on surfaces immersed in \(\mathbb{R}^3\)
• Positive Quadratic Differential Forms and Foliations with Singularities on Surfaces
• On binary differential equations and umbilics
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