Subdividing three-dimensional Riemannian disks

DOI10.1142/S1793525317500212zbMath1375.53055arXiv1508.03746WikidataQ115244568 ScholiaQ115244568MaRDI QIDQ5276007

Parker Glynn-Adey, Zhifei Zhu

Publication date: 14 July 2017

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

Full work available at URL: https://arxiv.org/abs/1508.03746

zbMATH Keywords

linkshomological filling functionsweep-outs

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (1)

A surface with discontinuous isoperimetric profile and expander manifolds

Cites Work

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• Width, Ricci curvature, and minimal hypersurfaces
• Metrics of positive scalar curvature and unbounded min-max widths
• The Morse landscape of a Riemannian disk
• On the oriented Plateau problem
• From continua to \(\mathbb R\)-trees
• Contracting the boundary of a Riemannian 2-disc
• Filling Riemannian manifolds
• On the asymptotic isoperimetric constant of tori
• Geometric measure theory.
• The width-volume inequality
• Curvature-free upper bounds for the smallest area of a minimal surface
• The homotopy groups of the integral cycle groups
• Surfaces of small diameter with large width
• Diastolic and isoperimetric inequalities on surfaces
• When ε-boundaries are manifolds
• Contracting thin disks
• Flat Chains Over a Finite Coefficient Group

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