Proof of Gromov’s theorem on homogeneous nilpotent approximation for vector fields of class C 1
From MaRDI portal
Publication:2945794
DOI10.3103/S1055134413030036zbMath1340.53064MaRDI QIDQ2945794
Aleksandr Valer'evich Greshnov
Publication date: 14 September 2015
Published in: Siberian Advances in Mathematics (Search for Journal in Brave)
Cauchy problemgeneralized triangle inequalityquasimetricdegree of a vector fieldArzela-Ascoli Theoremsmoothed vector field
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Sub-Riemannian geometry (53C17)
Related Items (11)
$ (q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points ⋮ A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces ⋮ Ekeland variational principle in complete weakly symmetric (1, q2)-quasimetric spaces and applications ⋮ Distance functions between sets in \((q_1, q_2)\)-quasimetric spaces ⋮ Horizontal joinability on 5-dimensional 2-step Carnot groups with a codimension 2 horizontal distribution ⋮ Privileged coordinates for Carnot-Carathéodory spaces of lower smoothness ⋮ (q1, q2)-quasimetrics bi-Lipschitz equivalent to 1-quasimetrics ⋮ Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal assumptions on smoothness ⋮ The Poincaré inequality for \(C^{1,\alpha}\)-smooth vector fields ⋮ The local approximation theorem in various coordinate systems ⋮ One-Dimensional Level Sets of hc-Differentiable Mappings of Carnot–Carathéodory Spaces
This page was built for publication: Proof of Gromov’s theorem on homogeneous nilpotent approximation for vector fields of class C 1
