Existence of non-self-intersecting closed geodesic of general elliptic type on surfaces, close to a sphere

DOI10.1007/BF01105320zbMath0405.58023MaRDI QIDQ1257264

A. I. Grjuntal'

Publication date: 1979

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian SystemsClosed GeodesicGeodesic FlowLyapunov-StableNon-Self-Intersecting Closed Geodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Manifolds of metrics (especially Riemannian) (58D17)

Related Items

On Poincaré's isoperimetric problem for simple closed geodesics

Cites Work

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• The behavior of the solutions of a differential system near a periodic solution
• An Index of Fixed Point Type for Periodic Orbits