## The min-max width of unit volume three-spheres

Lucas Ambrozio

University of Warwick; Member, School of Mathematics

November 20, 2018

The (Simon-Smith) min-max width of a Riemannian three dimensional sphere is a geometric invariant that measures the tightest way, in terms of area, of sweeping out the three-sphere by two-spheres. In this talk, we will explore the properties of this geometric invariant as a functional on the space of unit volume

metrics.

metrics.

This is joint work with Rafael Montezuma.