Finite jet determination of holomorphic mappings at the boundary

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dc.creatorEbenfelt, Peter
dc.date2000-01-21
dc.date2000-09-01
dc.date.accessioned2026-07-07T04:33:23Z
dc.date.available2026-07-07T04:33:23Z
dc.descriptionLet M,M' be smooth real hypersurfaces in N-dimensional space and assume that M is k-nondegenerate at a point p in M. We prove that holomorphic mappings that extend smoothly to M, sending a neighborhood of p in M diffeomorphically into M' are completely determined by their 2k-jet at p. As an application of this result, we also give sufficient conditions on a smooth real hypersurface which guarantee that the space of infinitesimal CR automorphisms is finite dimensional.
dc.description27 pages; AMS-TeX; In this revised version, a result showing that smooth CR diffeomorphisms depend smoothly on their jets of a certain predetermined order has been added. Some corrections have also been made
dc.identifierhttps://arxiv.org/abs/math/0001116
dc.identifierhttp://arxiv.org/abs/math/0001116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58554
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject32H12; 32V20
dc.titleFinite jet determination of holomorphic mappings at the boundary
dc.typetext

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