article published yes Arseniy Akopyan author 430D2C90-F248-11E8-B48F-1D18A9856A870000-0002-2548-617X Roman Karasev author HeEd department 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 Press2020 eng General Mathematics 1073-7928 1687-0247 1702.07513 00052285270000210.1093/imrn/rny037 20203669-697 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> 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>. A. Akopyan, R. Karasev, International Mathematics Research Notices 2020 (2020) 669–697. 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> Akopyan A, Karasev R. 2020. Waist of balls in hyperbolic and spherical spaces. International Mathematics Research Notices. 2020(3), 669–697. 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>. 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. 108672022-03-18T11:39:30Z2023-08-24T14:19:55Z