Lines of curvature near principal cycles

DOI10.1007/BF00136870zbMath0768.53002OpenAlexW2038949114WikidataQ125974847 ScholiaQ125974847MaRDI QIDQ1202532

Ronaldo A. Garcia, Jorge Sotomayor

Publication date: 25 February 1993

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00136870

zbMATH Keywords

Poincaré map

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (4)

Hyperbolic principal cycles on hypersurfaces of \(\mathbb{R}^ 4\) ⋮ Axial curvature cycles of surfaces immersed in \(\mathbb{R}^4\) ⋮ Bifurcations of umbilic points and related principal cycles ⋮ Lines of mean curvature on surfaces immersed in \(\mathbb{R}^3\)

Cites Work

• Singularities and groups in bifurcation theory. Volume I
• Lines of principal curvature for mappings with Whitney umbrella singularities
• Normal forms for certain singularities of vectorfields
• Closed principal lines and bifurcation
• Closed lines of curvature for Weingarten immersions
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