Existence and nonexistence of half-geodesics on 𝑆²

DOI10.1090/PROC/12918zbMath1356.53047arXiv1408.6216OpenAlexW2342461520MaRDI QIDQ2802125

Ian M. Adelstein

Publication date: 25 April 2016

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

Full work available at URL: https://arxiv.org/abs/1408.6216

zbMATH Keywords

spheregeodesicshalf-geodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22)

Related Items (4)

Minimizing geodesic nets and critical points of distance ⋮ Morse theory for the uniform energy ⋮ Closed geodesics on doubled polygons ⋮ Minimizing closed geodesics on polygons and disks

Cites Work

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• Manifolds without \(\tfrac {1}{k}\)-geodesics
• A Zoll counterexample to a geodesic length conjecture
• Geodesics on \(S^ 2\) and periodic points of annulus homeomorphisms
• Convergence and the length spectrum
• Periodic geodesics on compact Riemannian manifolds
• Morse Theory. (AM-51)
• A Panoramic View of Riemannian Geometry
• ON THE EXISTENCE OF CLOSED GEODESICS ON TWO-SPHERES
• Finiteness Theorems for Riemannian Manifolds

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