On the integrability of Lie subalgebroids

DOI10.1016/j.aim.2005.05.011zbMath1131.58015arXivmath/0406558OpenAlexW2036095061MaRDI QIDQ2496713

Janez Mrčun, Ieke Moerdijk

Publication date: 20 July 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406558

zbMATH Keywords

foliationholonomyLie groupoidLie algebroidLie subgroupoid

Mathematics Subject Classification ID

Pseudogroups and differentiable groupoids (58H05)

Related Items

Tannaka duality for proper Lie groupoids ⋮ Poisson double structures ⋮ Lie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat media ⋮ On the developability of Lie subalgebroids ⋮ On Hausdorff integrations of Lie algebroids ⋮ Foliated Lie and Courant algebroids ⋮ Lie and Courant algebroids on foliated manifolds ⋮ A supergeometric approach to Poisson reduction ⋮ Vector bundles over Lie groupoids and algebroids ⋮ The modular class of a Poisson map ⋮ Deforming solutions of geometric variational problems with varying symmetry groups ⋮ Rozansky-Witten-type invariants from symplectic Lie pairs ⋮ Singular subalgebroids ⋮ Lie groupoids and semi-local models of singular Riemannian foliations

Cites Work

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• Integration of Lie bialgebroids
• Étude des feuilletages transversalement complets et applications
• On integrability of infinitesimal actions
• Transversally Parallelizable Foliations of Codimension Two
• Lie Equations, Vol. I
• Foliation groupoids and their cyclic homology
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