On deformations of compact foliations

DOI10.1090/proc/14567zbMath1422.22006arXiv1807.10748OpenAlexW2949417837WikidataQ128435651 ScholiaQ128435651MaRDI QIDQ5232947

Rui Loja Fernandes, Matías L. del Hoyo

Publication date: 13 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10748

zbMATH Keywords

Lie algebroidsLie groupoidscompact manifoldsHausdorff foliations

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Topological groupoids (including differentiable and Lie groupoids) (22A22) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (2)

Riemannian metrics on differentiable stacks ⋮ Riemannian metrics on Lie groupoids

Cites Work

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• Riemannian metrics on Lie groupoids
• Deformations of Lie brackets: Cohomological aspects
• A generalization of the Reeb stability theorem
• A cohomology for foliated manifolds
• Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes
• Riemannian metrics on differentiable stacks
• Representations up to homotopy of Lie algebroids
• Foliations with all leaves compact

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