Waist of balls in hyperbolic and spherical spaces Akopyan, Arseniy ; https://orcid.org/0000-0002-2548-617X Karasev, Roman General Mathematics 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. Oxford University Press 2020 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/10867 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> eng info:eu-repo/semantics/altIdentifier/doi/10.1093/imrn/rny037 info:eu-repo/semantics/altIdentifier/issn/1073-7928 info:eu-repo/semantics/altIdentifier/e-issn/1687-0247 info:eu-repo/semantics/altIdentifier/wos/000522852700002 info:eu-repo/semantics/altIdentifier/arxiv/1702.07513 info:eu-repo/semantics/openAccess