Les isomorphismes infinitésimaux des tissus de codimension 1

2017/01/19 by Jean-Paul Dufour, Dufour, Jean-Paul
Mathematics · #Advanced Topics in Algebra #Advanced Differential Equations and Dynamical Systems #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1701.05557

Abstract

We study local (n+1)-webs of codimension 1 on a manifold of dimension n. We give a complete description of their possible Lie algebras of infinitesimal diffeomorphisms. More precisely we show that these Lie algebras are direct products of sub-algebras which are isomorphic to \fraksl(2), to the non-commutative 2-dimensional Lie algebra or commutative. We give also a precise limitation of the number of such direct factors and examples.

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