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A tight estimate for the waist of the ball

  • Published:2017-06-01 Issue:4 Volume:49 Page:690-693
  • ISSN:0024-6093
  • Container-title:Bulletin of the London Mathematical Society
  • language:en
  • Short-container-title:Bull. London Math. Soc.

Author:

Akopyan Arseniy1,Karasev Roman23

Affiliation:

1. Institute of Science and Technology Austria (IST Austria); Am Campus 1 3400 Klosterneuburg Austria

2. Moscow Institute of Physics and Technology; Institutskiy per. 9 Dolgoprudny Russia 141700

3. Institute for Information Transmission Problems RAS; Bolshoy Karetny per. 19 Moscow Russia 127994

Funder

Seventh Framework Programme

Research Executive Agency

Russian Foundation for Basic Research

Publisher

Wiley

Subject

General Mathematics

Reference7 articles.

1. Archimedes of Syracuse On sphere and cylinder

2. Pushing disks apart-the Kneser-Poulsen conjecture in the plane;Bezdek;J. reine angew. Math.,2002

3. Isoperimetry of waists and concentration of maps;Gromov;Geom. Funct. Anal.,2003

4. Waist of the sphere for maps to manifolds;Karasev;Topology Appl.,2013

5. Convex geometry and waist inequalities;Klartag;Geom. Funct. Anal.,2017

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On certain quantifications of Gromov’s nonsqueezing theorem;Geometry & Topology;2024-05-10

2. Widths of balls and free boundary minimal submanifolds;Advanced Nonlinear Studies;2023-01-01

3. Gromov’s Waist of Non-radial Gaussian Measures and Radial Non-Gaussian Measures;Lecture Notes in Mathematics;2020

4. Lower and upper bounds for the waists of different spaces;Topological Methods in Nonlinear Analysis;2019-03-31

5. Waist of Balls in Hyperbolic and Spherical Spaces;International Mathematics Research Notices;2018-03-14
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