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math.DG2026
Branching of regular abnormal geodesics in sub-Riemannian manifolds of rank two
Luca Rizzi, Mario Sigalotti, Nicolò Tedesco
We study branching of regular abnormal geodesics in sub-Riemannian manifolds of rank two. As an application, we provide examples of two new phenomena: continuous families of strict…
math.DG2025
Not all sub-Riemannian minimizing geodesics are smooth
Yacine Chitour, Frédéric Jean, Roberto Monti +4
A longstanding open question in sub-Riemannian geometry is the following: are sub-Riemannian length minimizers smooth? We give a negative answer to this question, exhibiting an exa…