Chern-Simons forms for R-linear connections on Lie algebroids

Abstract

The Chern-Simons forms for R-linear connections on Lie algebroids are considered. A generalized Chern-Simons formula for such R-linear connections is obtained. We it apply to define Chern character and secondary characteristic classes for R-linear connections of Lie algebroids.

References in corpus (2)

• Connections up to homotopy and characteristic classes
• The Generalized Stokes theorem for R-linear forms on Lie algebroids