The Smale Conjecture and Min-Max Theory

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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Hauptverfasser: Ketover, Daniel, Liokumovich, Yevgeny
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2310.05756