A singular Poincaré lemma
We prove a Poincare lemma for a set of r smooth functions on a 2n-dimensional smooth manifold satisfying a commutation relation determined by r singular vector fields associated to a Cartan subalgebra of $\frak{sp}(2r,\mathbb R)$. This result has a natural interpretation in terms of the cohomology a...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2005 |
| Country: | España |
| Institution: | Universidad de Barcelona |
| Repository: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/9175 |
| Online Access: | https://hdl.handle.net/2445/9175 |
| Access Level: | Open access |
| Keyword: | Formes diferencials Geometria algebraica Poincaré lemma Differential forms |
| Summary: | We prove a Poincare lemma for a set of r smooth functions on a 2n-dimensional smooth manifold satisfying a commutation relation determined by r singular vector fields associated to a Cartan subalgebra of $\frak{sp}(2r,\mathbb R)$. This result has a natural interpretation in terms of the cohomology associated to the infinitesimal deformation of a completely integrable system. |
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