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arXiv · 2310.05756

The Smale conjecture and min-max theory

Daniel Ketover·Yevgeny Liokumovich
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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.

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Daniel Ketover, Yevgeny Liokumovich. 2023-10-09. The Smale conjecture and min-max theory. https://doi.org/10.1007/s00222-025-01334-z

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