On deformations of compact foliations

Abstract

We combine classic stability results for foliations with recent results on deformations of Lie groupoids and Lie algebroids to provide a cohomological characterization for rigidity of compact foliations on compact manifolds.

arXiv comment6 pages; The cohomological proof of the main result has been rewritten and corrected. Final version accepted for publication in Proceedings of the American Mathematical Society

References in corpus (3)

• Riemannian metrics on Lie groupoids
• Riemannian metrics on differentiable stacks
• Regular Poisson manifolds of compact types (PMCT 2)

Cited by in corpus (2)

• Riemannian metrics on differentiable stacks
• Deformations of symplectic groupoids