A note on constant geodesic curvature curves on surfaces

DOI10.1016/j.anihpc.2008.06.005zbMath1175.53068OpenAlexW2091759773MaRDI QIDQ732509

Taoniu Sun

Publication date: 9 October 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78903

zbMATH Keywords

critical pointGauss curvatureconstant geodesic curvature

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items

Conformal metrics with prescribed gaussian and geodesic curvatures, Gauge theory formulation of hyperbolic gravity

Cites Work

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• Foliation by constant mean curvature spheres
• Constant mean curvature spheres in Riemannian manifolds
• Constant mean curvature surfaces in homogeneously regular 3-manifolds
• Sharp local isoperimetric inequalities involving the scalar curvature
• The spaces of index one minimal surfaces and stable constant mean curvature surfaces embedded in flat three manifolds