Privileged Coordinates and Nilpotent Approximation of Carnot Manifolds, I. General Results
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-018-9404-0
Abstract: In this paper, we attempt to give a systematic account on privileged coordinates and nilpotent approximation of Carnot manifolds. By a Carnot manifold, it is meant a manifold with a distinguished filtration of subbundles of… read more here.
Keywords: nilpotent approximation; carnot manifolds; coordinates nilpotent; privileged coordinates ... See more keywords
Tangent maps and tangent groupoid for Carnot manifolds
Sign Up to like & getrecommendations! Published in 2019 at "Differential Geometry and its Applications"
DOI: 10.1016/j.difgeo.2018.11.002
Abstract: This paper studies the infinitesimal structure of Carnot manifolds. By a Carnot manifold we mean a manifold together with a subbundle filtration of its tangent bundle which is compatible with the Lie bracket of vector… read more here.
Keywords: carnot manifolds; carnot manifold; group; carnot differential ... See more keywords