The Generalized Stokes theorem for R-linear forms on Lie algebroids

Abstract

The author presents the generalized Stokes theorem for R-linear forms on Lie algebroids (which can be non-local). We apply the Stokes formula on forms to prove that two homotopic homomorphisms of Lie algebroids implies the existence of a chain operator joining their pullback operators.

arXiv comment10 pages

References in corpus (1)

• Connections up to homotopy and characteristic classes

Cited by in corpus (2)

• Chern-Simons forms for R-linear connections on Lie algebroids
• Properties of the Exotic Characteristic Homomorphism for a Pair of Lie Algebroids, Relationship with the Koszul Homomorphism for a Pair of Lie algebras