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math.DG2024
Tubes in sub-Riemannian geometry and a Weyl's invariance result for curves in the Heisenberg groups
Tania Bossio, Luca Rizzi, Tommaso Rossi
The purpose of the paper is threefold: first, we prove optimal regularity results for the distance from submanifolds of general rank-varying sub-Riemannian structures. Then,…
math.DG2024
Quantitative tightness for three-dimensional contact manifolds: a sub-Riemannian approach
Andrei A. Agrachev, Stefano Baranzini, Eugenio Bellini +1
Through the use of sub-Riemannian metrics we provide quantitative estimates for the maximal tight neighbourhood of a Reeb orbit on a three-dimensional contact manifold. Under appro…