2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.DG2020
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…
math.DG2011
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…
math.DG2011★ 2 cited
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…