---
_id: '10867'
abstract:
- lang: eng
  text: In this paper we find a tight estimate for Gromov’s waist of the balls in
    spaces of constant curvature, deduce the estimates for the balls in Riemannian
    manifolds with upper bounds on the curvature (CAT(ϰ)-spaces), and establish similar
    result for normed spaces.
acknowledgement: ' Supported by the Russian Foundation for Basic Research grant 18-01-00036.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Arseniy
  full_name: Akopyan, Arseniy
  id: 430D2C90-F248-11E8-B48F-1D18A9856A87
  last_name: Akopyan
  orcid: 0000-0002-2548-617X
- first_name: Roman
  full_name: Karasev, Roman
  last_name: Karasev
citation:
  ama: Akopyan A, Karasev R. Waist of balls in hyperbolic and spherical spaces. <i>International
    Mathematics Research Notices</i>. 2020;2020(3):669-697. doi:<a href="https://doi.org/10.1093/imrn/rny037">10.1093/imrn/rny037</a>
  apa: Akopyan, A., &#38; Karasev, R. (2020). Waist of balls in hyperbolic and spherical
    spaces. <i>International Mathematics Research Notices</i>. Oxford University Press.
    <a href="https://doi.org/10.1093/imrn/rny037">https://doi.org/10.1093/imrn/rny037</a>
  chicago: Akopyan, Arseniy, and Roman Karasev. “Waist of Balls in Hyperbolic and
    Spherical Spaces.” <i>International Mathematics Research Notices</i>. Oxford University
    Press, 2020. <a href="https://doi.org/10.1093/imrn/rny037">https://doi.org/10.1093/imrn/rny037</a>.
  ieee: A. Akopyan and R. Karasev, “Waist of balls in hyperbolic and spherical spaces,”
    <i>International Mathematics Research Notices</i>, vol. 2020, no. 3. Oxford University
    Press, pp. 669–697, 2020.
  ista: Akopyan A, Karasev R. 2020. Waist of balls in hyperbolic and spherical spaces.
    International Mathematics Research Notices. 2020(3), 669–697.
  mla: Akopyan, Arseniy, and Roman Karasev. “Waist of Balls in Hyperbolic and Spherical
    Spaces.” <i>International Mathematics Research Notices</i>, vol. 2020, no. 3,
    Oxford University Press, 2020, pp. 669–97, doi:<a href="https://doi.org/10.1093/imrn/rny037">10.1093/imrn/rny037</a>.
  short: A. Akopyan, R. Karasev, International Mathematics Research Notices 2020 (2020)
    669–697.
date_created: 2022-03-18T11:39:30Z
date_published: 2020-02-01T00:00:00Z
date_updated: 2023-08-24T14:19:55Z
day: '01'
department:
- _id: HeEd
doi: 10.1093/imrn/rny037
external_id:
  arxiv:
  - '1702.07513'
  isi:
  - '000522852700002'
intvolume: '      2020'
isi: 1
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1702.07513
month: '02'
oa: 1
oa_version: Preprint
page: 669-697
publication: International Mathematics Research Notices
publication_identifier:
  eissn:
  - 1687-0247
  issn:
  - 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Waist of balls in hyperbolic and spherical spaces
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 2020
year: '2020'
...