Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81715
Type: Artigo de periódico
Title: On the variational cohomology of g-invariant foliations
Author: Almeida, R
Kumpera, A
Rubin, JL
Abstract: Let S be an integrable Pfaffian system. If it is invariant under a transversally free infinitesimal action of a finite dimensional real Lie algebra g, we show that the 'vertical' variational cohomology of S is equal to the Lie algebra cohomology of g with values in the space of the 'horizontal' cohomology in a maximum dimension. This result, besides giving an effective algorithm for the computation of the variational cohomology of an invariant Pfaffian system, provides a method for detecting obstructions to the existence of infinitesimal actions leaving a given system invariant. (C) 2003 American Institute of Physics.
Country: EUA
Editor: Amer Inst Physics
Rights: aberto
Identifier DOI: 10.1063/1.1607513
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

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