Segre varieties and Lie symmetries |
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| Authors: | Alexandre Sukhov |
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| Affiliation: | (1) Université des Sciences et Technologies de Lille, Laboratoire d'Arithmétique – Géométrie – Analyse – Topologie, Unité Mixte de Recherche 8524, U.F.R. de Mathématique, 59655 Villeneuve d'Ascq, Cedex, France (e-mail: Alexandre.Sukhov@agat.univ-lille1.fr), FR |
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| Abstract: | We show that biholomorphic automorphisms of a real analytic hypersurface in can be considered as (pointwise) Lie symmetries of a holomorphic completely overdetermined involutive second order PDE system defining its Segre family. Using the classical S.Lie method we obtain a complete description of infinitesimal symmetries of such a system and give a new proof of some well known results of CR geometry. Received: 8 October 1999; in final form: 3 February 2000 / Published online: 4 May 2001 |
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