A tight estimate for the waist of the ball

Abstract

We answer a question of M. Gromov on the waist of the unit ball.

Version 2 also considers the case of an ellipsoid in an appropriate way

Cited by in corpus (4)

• Lower and upper bounds for the waists of different spaces
• On certain quantifications of Gromov's non-squeezing theorem
• Gromov's waist of non-radial Gaussian measures and radial non-Gaussian measures
• Waist of balls in hyperbolic and spherical spaces