Lie algebraic characterization of manifolds

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dc.creatorGrabowski, Janusz
dc.creatorPoncin, Norbert
dc.date2003-10-14
dc.date2005-02-03
dc.date.accessioned2026-07-07T05:01:53Z
dc.date.available2026-07-07T05:01:53Z
dc.descriptionResults 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 underlaying manifolds.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0310202
dc.identifierhttp://arxiv.org/abs/math/0310202
dc.identifierCentral European Journal of Mathematics, 2(5) 2004, pp. 811-825
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68846
dc.subjectDifferential Geometry
dc.subject17B63; 13N10; 16S32; 17B40; 17B65; 53D17
dc.titleLie algebraic characterization of manifolds
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