2006•Annales Polonici MathematiciOpen access

The BIC of a singular foliation defined by an abelian group of isometries

Martintxo Saralegi-Aranguren, Robert A. Wolak

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Abstract

% We study the cohomology properties of the singular foliation $\cal F$ determined by an action ${\mit\Phi} \colon G \times M\to M$ where the abelian Lie group $G$ preserves a riemannian metric on the compact manifold $M$. More precisely, we prove that th

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% We study the cohomology properties of the singular foliation $\cal F$ determined by an action ${\mit\Phi} \colon G \times M\to M$ where the abelian Lie group $G$ preserves a riemannian metric on the compact manifold $M$. More precisely, we prove that th

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% We study the cohomology properties of the singular foliation $\cal F$ determined by an action ${\mit\Phi} \colon G \times M\to M$ where the abelian Lie group $G$ preserves a riemannian metric on the compact manifold $M$. More precisely, we prove that th

Key concepts: Mathematics, Foliation (geology), Abelian group, Pure mathematics, Cohomology, Manifold (fluid mechanics), Lie group, Metric (unit)

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