Longitudinal smoothness of the holonomy groupoid

DOI10.1016/j.crma.2013.07.025zbMath1285.53019OpenAlexW2042958199MaRDI QIDQ384093

Claire Debord

Publication date: 26 November 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2013.07.025

zbMATH Keywords

holonomy groupoidsingular foliationlongitudinal smoothness

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Issues of holonomy in differential geometry (53C29)

Related Items (8)

Almost regular Poisson manifolds and their holonomy groupoids ⋮ Stability of Lie groupoid \(C^\ast\)-algebras ⋮ The holonomy of a singular leaf ⋮ The universal Lie \(\infty\)-algebroid of a singular foliation ⋮ Holonomy transformations for singular foliations ⋮ Hausdorff Morita equivalence of singular foliations ⋮ Measures with locally finite support and spectrum ⋮ A Baum-Connes conjecture for singular foliations

Cites Work

• Unnamed Item
• Unnamed Item
• Integrability of Lie brackets
• Smoothness of holonomy covers for singular foliations and essential isotropy
• Critical points of the length of a Killing vector field
• The holonomy groupoid of a singular foliation

This page was built for publication: Longitudinal smoothness of the holonomy groupoid