On the existence of escaping geodesics

DOI10.1007/BF02566198zbMath0462.58013MaRDI QIDQ1153392

Victor Bangert

Publication date: 1981

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/139856

zbMATH Keywords

complete Riemannian manifold homeomorphic to the planeexistence of escaping geodesicsLusternik-Schnirelman theory on the space of curves with fixed end-points

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (4)

Geodesics and totally convex sets on surfaces ⋮ Bi-Lipschitz parameterization of surfaces ⋮ Asymptotically flat three-manifolds contain minimal planes ⋮ Escaping geodesics of Riemannian surfaces

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