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math.DG2017★ 10 cited
Privileged Coordinates and Nilpotent Approximation of Carnot Manifolds, I. General Results
Woocheol Choi, Raphael Ponge
In this paper we attempt to give a systematic account on privileged coordinates and the nilpotent approximation of Carnot manifolds. By a Carnot manifold it is meant a manifold wit…
math.DG2017★ 2 cited
Privileged Coordinates and Nilpotent Approximation for Carnot Manifolds, II. Carnot Coordinates
Raphael Ponge, Woocheol Choi
This paper is a sequel of arxiv:1709.09045 and deals with privileged coordinates and nilpotent approximation of Carnot manifolds. By a Carnot manifold it is meant a manifold equipp…
math.DG2015★ 16 cited
Tangent Maps and Tangent Groupoid for Carnot Manifolds
Woocheol Choi, Raphael Ponge
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 comp…