Surfaces of small diameter with large width

DOI10.1142/S1793525314500149zbMath1296.53070arXiv1307.2306OpenAlexW2964140987MaRDI QIDQ2874673

Yevgeny Liokumovich

Publication date: 8 August 2014

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2306

zbMATH Keywords

Riemannian geometrywidthisoperimetric inequalitiesmetric geometryisoperimetric profilediastolic inequalities

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (7)

Subdividing three-dimensional Riemannian disks ⋮ Monotone homotopies and contracting discs on 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 ⋮ Contracting thin disks

Cites Work

• The Morse landscape of a Riemannian disk
• The width-volume inequality
• The homotopy groups of the integral cycle groups
• Spheres of small diameter with long sweep-outs
• Unnamed Item

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