Rigidity and Flexibility in Poisson Geometry

2005/03/08 by Rui Loja Fernandes, Marius Crainic, Fernandes, Rui Loja +1 · 3 citations
Mathematics · #Advanced Topics in Algebra #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG #math.SG #msc:53D17

paper · pdf · doi:10.48550/arxiv.math/0503145

12 pages

arxiv created 2005/03/08 · arxiv updated 2009/12/01

Abstract

We discuss several rigidity and flexibility phenomena in the context of Poisson geometry.

Cited by

• Regular Poisson manifolds of compact types (PMCT 2)
• Normal forms in Poisson geometry
• Multiplicative Gray stability

Related

• Some notes on the equivalence of first-order rigidity in various geometries
• Hyperbolic cone metrics and billiards
• Noncommutative Rigidity
• Rigidity of Spreadings and Fields of Definition
• Poisson's ratio over two centuries: challenging hypotheses