Non-minimality of corners in subriemannian geometry

• 成果类型: Article
• 署名作者: Hakavuori, Eero; Le Donne, Enrico
• 署名单位: University of Jyvaskyla
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-016-0661-9
• 发表日期: 2016
• 页码: 693-704
• 关键词: regularity; CURVES

摘要

We give a short solution to one of the main open problems in subriemannian geometry. Namely, we prove that length minimizers do not have corner-type singularities. With this result we solve Problem II of Agrachev's list, and provide the first general result toward the 30-year-old open problem of regularity of subriemannian geodesics.