Simple closed geodesics on most Alexandrov surfaces

DOI10.1016/j.aim.2015.04.003zbMath1317.53094arXiv1311.4873OpenAlexW2964054963MaRDI QIDQ2343538

Joël Rouyer, Costin Vîlcu

Publication date: 6 May 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4873

zbMATH Keywords

Baire categorysimple closed geodesicAlexandrov surface

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (2)

Simple Closed Geodesics on Regular Tetrahedra in Spaces of Constant Curvature ⋮ Farthest points on most Alexandrov surfaces

Cites Work

• Geodesic flows with positive topological entropy, twist maps and hyperbolicity
• Generic properties of compact metric spaces
• Classical topics in discrete geometry
• Geodesics on \(S^ 2\) and periodic points of annulus homeomorphisms
• On a generic property of geodesic flows
• Farthest points on most Alexandrov surfaces
• Growth of the number of simple closed geodesics on hyperbolic surfaces
• The Connected Components of the Space of Alexandrov Surfaces
• A.D. Alexandrov spaces with curvature bounded below
• Moderate smoothness of most Alexandrov surfaces
• ON THE EXISTENCE OF CLOSED GEODESICS ON TWO-SPHERES
• A typical convex surface contains no closed geodesic.
• Long geodesics on convex surfaces
• Riemannian geometry
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