3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.DG2003
Derivations of the Lie Algebras of Differential Operators
J. Grabowski, N. Poncin
This paper encloses a complete and explicit description of the derivations of the Lie algebra D(M) of all linear differential operators of a smooth manifold M, of its Lie subalgebr…
math.DG2003★ 3 cited
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…
math.DG2003
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…