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2005

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/9175

A singular Poincaré lemma

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Abstract

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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http://dx.doi.org/10.1155/IMRN.2005.27

Subject

Formes diferencials, Geometria algebraica

Subject (English)

Poincaré lemma, Differential forms

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Articles publicats en revistes (Matemàtiques i Informàtica)

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MIRANDA GALCERÁN, Eva and VU NGOC, S. A singular Poincaré lemma. International Mathematics Research Notices. 2005. Vol. 1, num. 27-45. ISSN 1073-7928. [consulted: 11 of October of 2026]. Available at: https://hdl.handle.net/2445/9175

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