Waist of balls in hyperbolic and spherical spaces

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.

References in corpus (2)

• Lower and upper bounds for the waists of different spaces
• A tight estimate for the waist of the ball

Cited by in corpus (1)

• Gromov's waist of non-radial Gaussian measures and radial non-Gaussian measures