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- W4296398529 abstract "Inspired by the work of Molino, we show that the integrability obstruction for transitive Lie algebroids can be made to vanish by adding extra dimensions. In particular, we prove that the Weinstein groupoid of a non-integrable transitive and abelian Lie algebroid, is the quotient of a finite dimensional Lie groupoid. Two constructions as such are given: First, explaining the counterexample to integrability given by Almeida and Molino, we see that it can be generalized to the construction of an Almeida-Molino integrable lift when the base manifold is simply connected. On the other hand, we notice that the classical de Rham isomorphism provides a universal integrable algebroid. Using it we construct a de Rham integrable lift for any given transitive Abelian Lie algebroid." @default.
- W4296398529 created "2022-09-20" @default.
- W4296398529 creator A5076388853 @default.
- W4296398529 creator A5079617160 @default.
- W4296398529 date "2017-07-16" @default.
- W4296398529 modified "2023-09-29" @default.
- W4296398529 title "Integrable lifts for transitive Lie algebroids" @default.
- W4296398529 doi "https://doi.org/10.48550/arxiv.1707.04855" @default.
- W4296398529 hasPublicationYear "2017" @default.
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