The Morse landscape of a Riemannian disk

DOI10.5802/aif.1343zbMath0780.53035OpenAlexW2035936281WikidataQ115159065 ScholiaQ115159065MaRDI QIDQ685891

Mikhail G. Katz, Sidney Frankel

Publication date: 6 December 1993

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_2_503_0

zbMATH Keywords

complexitydiametercircumferenceword metricimbedded finite treeslength functionalRiemannian disks

Mathematics Subject Classification ID

Trees (05C05) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (15)

Subdividing three-dimensional Riemannian disks ⋮ 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 ⋮ A surface with discontinuous isoperimetric profile and expander manifolds ⋮ Contracting the boundary of a Riemannian 2-disc ⋮ Metrics of positive scalar curvature and unbounded min-max widths ⋮ Lengths of three simple periodic geodesics on a Riemannian 2-sphere ⋮ Spheres of small diameter with long sweep-outs ⋮ Effective universal coverings and local minima of the length functional on loop spaces ⋮ Contracting thin disks ⋮ Short geodesic segments between two points on a closed Riemannian manifold ⋮ Lengths of geodesics between two points on a Riemannian manifold ⋮ LINEAR BOUNDS FOR LENGTHS OF GEODESIC SEGMENTS ON RIEMANNIAN 2-SPHERES ⋮ Surfaces of small diameter with large width

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