Upper bounds on the length of the shortest closed geodesic on simply connected manifolds

DOI10.1007/PL00004803zbMath0960.53026OpenAlexW1996738485WikidataQ125933145 ScholiaQ125933145MaRDI QIDQ1968583

Regina Rotman

Publication date: 7 May 2001

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004803

zbMATH Keywords

volumediametersectional curvatureclosed geodesicsimply connectedness radius

Mathematics Subject Classification ID

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

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Length of a shortest closed geodesic in manifolds of dimension four ⋮ SHARP POINCARÉ–SOBOLEV INEQUALITIES AND THE SHORTEST LENGTH OF SIMPLE CLOSED GEODESICS ON A TOPOLOGICAL TWO SPHERE

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