C 2 densely the 2-sphere has an elliptic closed geodesic

DOI10.1017/S0143385704000422zbMath1093.53035arXivmath/0312005OpenAlexW2035477663MaRDI QIDQ5289875

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Publication date: 19 April 2006

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312005

zbMATH Keywords

Riemannian metric2-spheregeodesic flowprojective plane

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

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