2 citations · 2 across the 5 of their papers we have counts for
5 papers
Symmetric brackets induced by connections with totally skew-symmetric torsion on skew-symmetric algebroids
Bogdan Balcerzak
In this note, we discuss symmetric brackets on skew-symmetric algebroids associated with a metric structure. Given a pseudo-Riemannian metric structure, we describe symmetric brack…
Chern-Simons forms for R-linear connections on Lie algebroids
Bogdan Balcerzak
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 defin…
Properties of the Exotic Characteristic Homomorphism for a Pair of Lie Algebroids, Relationship with the Koszul Homomorphism for a Pair of Lie algebras
Bogdan Balcerzak, Jan Kubarski
We examine functorial and homotopy properties of the exotic characteristic homomorphism in the category of Lie algebroids which was lastly obtained by the authors in [4]. This homo…
The Generalized Stokes theorem for R-linear forms on Lie algebroids
Bogdan Balcerzak
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 h…
Some Exotic Characteristic Homomorphism for Lie Algebroids
Bogdan Balcerzak, Jan Kubarski
The authors define some secondary characteristic homomorphism for the triple (A,B,\bigtriangledown), in which B\subset A is a pair of regular Lie algebroids over the same foliated…