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Global and local volume bounds and the shortest geodesic loops

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Publication:1769130
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DOI10.4310/CAG.2004.v12.n5.a3zbMath1075.53030OpenAlexW2097698452WikidataQ125888027 ScholiaQ125888027MaRDI QIDQ1769130

Stéphane Sabourau

Publication date: 18 March 2005

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cag.2004.v12.n5.a3


Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)


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Geodesic loops and periodic geodesics on a Riemannian manifold diffeomorphic to \(S^{3}\), Length of geodesics and quantitative Morse theory on loop spaces, Flowers on Riemannian manifolds, Margulis lemma, entropy and free products, Free abelian covers, short loops, stable length, and systolic inequalities, An inequality for length and volume in the complex projective plane, Short geodesic segments between two points on a closed Riemannian manifold, Short geodesic loops on complete Riemannian manifolds with a finite volume



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