Privileged coordinates and nilpotent approximation for Carnot manifolds. II: Carnot coordinates
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Publication:2329459
DOI10.1007/s10883-019-09434-9zbMath1432.53047arXiv1703.05494OpenAlexW2913254237MaRDI QIDQ2329459
Publication date: 17 October 2019
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.05494
Harmonic analysis on homogeneous spaces (43A85) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17)
Related Items (7)
Pseudodifferential operators on filtered manifolds as generalized fixed points ⋮ Differential geometry of weightings ⋮ Surface measure on, and the local geometry of, sub-Riemannian manifolds ⋮ Privileged coordinates and nilpotent approximation of Carnot manifolds. I: General results ⋮ Euler-like vector fields, deformation spaces and manifolds with filtered structure ⋮ On the deformation groupoid of the inhomogeneous pseudo‐differential Calculus ⋮ A groupoid approach to pseudodifferential calculi
Cites Work
- Privileged coordinates and nilpotent approximation of Carnot manifolds. I: General results
- On Carnot-Caratheodory metrics
- Balls and metrics defined by vector fields. I: Basic properties
- Hypoelliptic differential operators and nilpotent groups
- Nilpotent Lie groups: Structure and applications to analysis
- Some remarks on the definition of tangent cones in a Carnot-Carathéodory space
- Tangent maps and tangent groupoid for Carnot manifolds
- Local invariants of smooth control systems
- The tangent groupoid of a Heisenberg manifold
- On differential systems, graded Lie algebras and pseudo-groups
- Graded Approximations and Controllability Along a Trajectory
- Nilpotent and High-Order Approximations of Vector Field Systems
- Calculus on Heisenberg Manifolds. (AM-119)
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Fonction spectrale et valeurs propres d'une classe d'operateurs non elliptiques
- Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning
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