The Smale conjecture and min-max theory

Abstract

We give a new proof of the Smale conjecture for ${\mathbb{RP}}^3$ and all lens spaces using minimal surfaces and min-max theory. For ${\mathbb{RP}}^3$, the conjecture was first proved in 2019 by Bamler-Kleiner using Ricci flow.

To appear in Invent.math

References in corpus (3)

• On the classification of Heegaard splittings
• Spaces of Incompressible Surfaces
• On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces