1 citations · 1 across the 1 of their papers we have counts for
3 papers
math-ph2004★ 1 cited
Frame-independent formulation of Newtonian mechanics
Katarzyna Grabowska, Pawel Urbanski
A frame independent formulation of analytical mechanics in the Newtonian space-time is presented. The differential geometry of affine values i.e., the differential geometry in whic…
math.DG2002
The Lie algebra of a Lie algebroid
Janusz Grabowski, Katarzyna Grabowska
Results describing Lie ideals and maximal finite-codimensional Lie subalgebras of the Lie algebras associated with Lie algebroids with non-singular anchor maps are presented. It is…
math.DG2002
Lie brackets on affine bundles
Janusz Grabowski, Katarzyna Grabowska, Pawel Urbanski
Natural analogs of Lie brackets on affine bundles are studied, based on natural examples from differential geometry and analytical mechanics. In particular, a close relation to Lie…