The Smale conjecture and min-max theory
Differential Geometry
2025-05-13 v3 Geometric Topology
Abstract
We give a new proof of the Smale conjecture for and all lens spaces using minimal surfaces and min-max theory. For , the conjecture was first proved in 2019 by Bamler-Kleiner using Ricci flow.
Cite
@article{arxiv.2310.05756,
title = {The Smale conjecture and min-max theory},
author = {Daniel Ketover and Yevgeny Liokumovich},
journal= {arXiv preprint arXiv:2310.05756},
year = {2025}
}
Comments
To appear in Invent.math