Non-minimality of corners in subriemannian geometry

By Eero Hakavuori, Enrico Le Donne. 2015

70 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/6adda2398669ccfa5f2b79a1d1fec5b0242a0e60

Citations in the corpus

• On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures (2018, unknown): “We observe that the proof contained in [HL16] requires a previous result stated in [LM08].”