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arXiv · 1509.05578

Non-minimality of corners in subriemannian geometry

Eero Hakavuori·Enrico Le Donne
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Abstract

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.

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Eero Hakavuori, Enrico Le Donne. 2016-03-29. Non-minimality of corners in subriemannian geometry. https://doi.org/10.1007/s00222-016-0661-9

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