Waist of the sphere for maps to manifolds

Abstract

We generalize the sphere waist theorem of Gromov and the Borsuk--Ulam type measure partition lemma of Gromov--Memarian for maps to manifolds.

References in corpus (3)

• Equipartition of several measures
• The genus and the category of configuration spaces
• On Gromov's Waist of the Sphere Theorem

Cited by in corpus (6)

• Lower and upper bounds for the waists of different spaces
• Borsuk-Ulam type theorems for metric spaces
• A tight estimate for the waist of the ball
• Gromov's waist of non-radial Gaussian measures and radial non-Gaussian measures
• Waist of balls in hyperbolic and spherical spaces
• A Note on the Geometry of Positively-Curved Riemannian Manifolds