The Smale conjecture and min-max theory

• 成果类型: Article
• 署名作者: Ketover, Daniel; Liokumovich, Yevgeny
• 署名单位: Rutgers University System; Rutgers University New Brunswick; University of Toronto; University Toronto Mississauga
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-025-01334-z
• 发表日期: 2025
• 页码: 1-34
• 关键词: minimal-surfaces; genus bounds; EXISTENCE

摘要

We give a new proof of the Smale conjecture for RP3 and all lens spaces using minimal surfaces and min-max theory. For RP3, the conjecture was first proved in 2019 by Bamler-Kleiner using Ricci flow.