Tangent maps and tangent groupoid for Carnot manifolds

DOI10.1016/j.difgeo.2018.11.002zbMath1410.53034arXiv1510.05851OpenAlexW3100114964WikidataQ115355033 ScholiaQ115355033MaRDI QIDQ1733252

Woocheol Choi, Raphaël Ponge

Publication date: 21 March 2019

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05851

zbMATH Keywords

nilpotent Lie groupsgroupoidstangent mapsCarnot manifoldsCarnot differential

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25) Pseudogroups and differentiable groupoids (58H05) Sub-Riemannian geometry (53C17)

Related Items (15)

Analytic torsion of generic rank two distributions in dimension five ⋮ Asymptotics and zeta functions on compact nilmanifolds ⋮ Pseudodifferential operators on filtered manifolds as generalized fixed points ⋮ Differential geometry of weightings ⋮ Spectral estimates and asymptotics for stratified Lie groups ⋮ Pseudo-differential extension for graded nilpotent Lie groups ⋮ A groupoid approach to the Wodzicki residue ⋮ Analysis, geometry and topology of singular PDE. Abstracts from the workshop held June 6--12, 2021 (hybrid meeting) ⋮ Towards semi-classical analysis for sub-elliptic operators ⋮ Lie groupoids, pseudodifferential calculus, and index theory ⋮ Privileged coordinates and nilpotent approximation of Carnot manifolds. I: General results ⋮ The heat asymptotics on filtered manifolds ⋮ Privileged coordinates and nilpotent approximation for Carnot manifolds. II: Carnot coordinates ⋮ On the deformation groupoid of the inhomogeneous pseudo‐differential Calculus ⋮ Graded hypoellipticity of BGG sequences

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