Poincaré’s closed geodesic on a convex surface

DOI10.1090/S0002-9947-04-03444-0zbMath1045.53005MaRDI QIDQ4461198

Wilhelm Klingenberg

Publication date: 29 March 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

energy integralcritical pointconvex surfacesimple closed geodesic

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Geodesics in global differential geometry (53C22) Surfaces in Euclidean and related spaces (53A05) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (1)

Geodesic flow of the averaged controlled Kepler equation

Cites Work

• Unnamed Item
• Poincaré's problem and the length of the shortest closed geodesic on a convex hypersurface
• Regular Curves on Riemannian Manifolds
• ON THE EXISTENCE OF THREE NONSELFINTERSECTING CLOSED GEODESICS ON MANIFOLDS HOMEOMORPHIC TO THE 2-SPHERE
• Lectures on Morse theory, old and new

This page was built for publication: Poincaré’s closed geodesic on a convex surface