01:04:53
published on September 8, 2026
Persistence theory from a representation-theoretic perspective 2
By Thomas Brüstle
Excess and tangents of sub-Riemannian geodesics
Appears in collection : Journée sous-riemannienne 2017
We present some recent results on the regularity problem of sub-Riemannian length minimizing curves. This is a joint work with A. Pigati and D. Vittone. After introducing the notion of excess for a horizontal curve, we show that at any point of a length minimizing curve excess is infinitesimal at some sequence of scales. This implies the existence of a linear tangent. We also discuss other results related to excess.
