Waist of balls in hyperbolic and spherical spaces
classification
🧮 math.MG
keywords
spacesballscurvaturewaistboundsconstantdeduceestablish
read the original abstract
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 ($\mathrm{CAT}(\kappa)$-spaces), and establish similar result for normed spaces.
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