Linear bounds for lengths of geodesic loops on Riemannian 2-spheres

DOI10.4310/jdg/1324477410zbMath1243.53075OpenAlexW1906811190WikidataQ115170572 ScholiaQ115170572MaRDI QIDQ431562

Alexander Nabutovsky, Regina Rotman

Publication date: 28 June 2012

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jdg/1324477410

zbMATH Keywords

diameterlengthgeodesic loop

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22)

Related Items

Length of geodesics and quantitative Morse theory on loop spaces ⋮ Monotone homotopies and contracting discs on Riemannian surfaces ⋮ Curvature-free linear length bounds on geodesics in closed Riemannian surfaces ⋮ Contracting the boundary of a Riemannian 2-disc ⋮ The first width of non-negatively curved surfaces with convex boundary ⋮ Constructing monotone homotopies and sweepouts ⋮ LINEAR BOUNDS FOR LENGTHS OF GEODESIC SEGMENTS ON RIEMANNIAN 2-SPHERES