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The generalized Stokes theorem for \(\mathbb R\)-linear forms on Lie algebroids. (English) Zbl 1276.58004

Summary: We present the generalized Stokes theorem for \(\mathbb R\)-linear forms on Lie algebroids (which can be non-local). The Stokes formula on forms is applied to prove that two homotopic homomorphisms of Lie algebroids imply the existence of a chain operator joining their pullback operators.

MSC:

58H05 Pseudogroups and differentiable groupoids
17B56 Cohomology of Lie (super)algebras
58A10 Differential forms in global analysis
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