Lie algebraic characterization of manifolds

• Autorzy: Janusz Grabowski , Norbert Poncin
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Algebraic characterization; smooth, real-analytic, and Stein manifolds; automorphism; Lie algebras; differential operators; principal symbols; 17B63; 13N10; 16S32; 17B40; 17B65; 53D17

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 5
• Strony: 811-825

Daty

wydano

2004-10-01

online

2004-10-01

Twórcy

autor

Janusz Grabowski

• Polish Academy of Sciences

autor

Norbert Poncin

• University of Luxembourg

Bibliografia

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Identyfikatory

DOI

10.2478/BF02475979