92 citations · 100 across the 8 of their papers we have counts for
7 papers · 1 filter
Isomorphisms of algebras of smooth functions revisited
Janusz Grabowski
It is proved that isomorphisms between algebras of smooth functions on Hausdorff smooth manifolds are implemented by diffeomorphisms. It is not required that manifolds are second c…
Lie algebraic characterization of manifolds
Janusz Grabowski, Norbert Poncin
Results on characterization of manifolds in terms of certain Lie algebras growing on them, especially Lie algebras of differential operators, are reviewed and extended. In particul…
Jacobi structures on affine bundles
J. Grabowski, D. Iglesias, J. C. Marrero +2
We study affine Jacobi structures on an affine bundle , i.e. Jacobi brackets that close on affine functions. We prove that there is a one-to-one correspondence between af…
On characterization of Poisson and Jacobi structures
Janusz Grabowski, Pawel Urbanski
We characterize Poisson and Jacobi structures by means of complete lifts of the corresponding tensors: the lifts have to be related to canonical structures by morphisms of correspo…
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…
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…