[{"language":[{"iso":"eng"}],"scopus_import":"1","author":[{"orcid":"0000-0002-2548-617X","full_name":"Akopyan, Arseniy","first_name":"Arseniy","last_name":"Akopyan","id":"430D2C90-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Karasev","full_name":"Karasev, Roman","first_name":"Roman"}],"acknowledgement":" Supported by the Russian Foundation for Basic Research grant 18-01-00036.","arxiv":1,"keyword":["General Mathematics"],"external_id":{"arxiv":["1702.07513"],"isi":["000522852700002"]},"page":"669-697","date_created":"2022-03-18T11:39:30Z","isi":1,"volume":2020,"article_type":"original","oa":1,"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."}],"citation":{"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>.","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>","short":"A. Akopyan, R. Karasev, International Mathematics Research Notices 2020 (2020) 669–697.","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>.","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>","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."},"issue":"3","publication_identifier":{"issn":["1073-7928"],"eissn":["1687-0247"]},"quality_controlled":"1","_id":"10867","intvolume":"      2020","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"Oxford University Press","month":"02","year":"2020","date_published":"2020-02-01T00:00:00Z","article_processing_charge":"No","publication_status":"published","title":"Waist of balls in hyperbolic and spherical spaces","oa_version":"Preprint","department":[{"_id":"HeEd"}],"date_updated":"2023-08-24T14:19:55Z","status":"public","publication":"International Mathematics Research Notices","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1702.07513"}],"type":"journal_article","day":"01","doi":"10.1093/imrn/rny037"}]