Rational dependence of smooth and analytic CR mappings on their jets

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dc.creatorBaouendi, M. S.
dc.creatorEbenfelt, P.
dc.creatorRothschild, Linda Preiss
dc.date1998-11-17
dc.date.accessioned2026-07-07T05:26:54Z
dc.date.available2026-07-07T05:26:54Z
dc.descriptionWe consider CR submersive mappings between generic submanifolds in complex space. We show that, under suitable conditions on the manifolds, there is an integer k such that any jet of the CR mapping at a given point is a rational function of its k-jet at that point. As a consequence, it is shown that the stability group of a (suitably nondegenerate) real-analytic generic submanifold is a real algebraic Lie group. Moreover, it is shown that a formal equivalence between two such real-analytic submanifolds is necessarily convergent.
dc.descriptionAMS-TeX (amsppt); 38 pages
dc.identifierhttps://arxiv.org/abs/math/9811104
dc.identifierhttp://arxiv.org/abs/math/9811104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77727
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject32H02
dc.titleRational dependence of smooth and analytic CR mappings on their jets
dc.typetext

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