Balcerzak, Bogdan The generalized Stokes theorem for \(\mathbb R\)-linear forms on Lie algebroids. (English) Zbl 1276.58004 J. Appl. Anal. 18, No. 1, 117-131 (2012). 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. Cited in 3 Documents MSC: 58H05 Pseudogroups and differentiable groupoids 17B56 Cohomology of Lie (super)algebras 58A10 Differential forms in global analysis Keywords:Lie algebroid; homomorphisms of Lie algebroids; homotopic homomorphisms of Lie algebroids; Lie algebroid cohomology PDFBibTeX XMLCite \textit{B. Balcerzak}, J. Appl. Anal. 18, No. 1, 117--131 (2012; Zbl 1276.58004) Full Text: DOI arXiv