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Lie algebraic characterization of manifolds

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Grabowski J., Poncin N.

Open Mathematics

2004

tom 2

nr 5

811-825

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 particular, we prove that a smooth (real-analytic, Stein) manifold is characterized by the corresponding Lie algebra of linear differential operators, i.e. isomorphisms of such Lie algebras are induced by the appropriate class of diffeomorphisms of the underlying manifolds.

Ograniczanie wyników

1 Open Mathematics

1 Grabowski J.

1 Poncin N.

1 2004

Wyniki wyszukiwania

Lie algebraic characterization of manifolds