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