Non-minimality of corners in subriemannian geometry
classification
🧮 math.DG
math.MGmath.OC
keywords
subriemanniangeometryopenproblemresultagrachevcorner-typecorners
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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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