Segre varieties, CR geometry and Lie symmetries of second order PDE systems

Publication date: 20 February 2000

Abstract: We show that biholomorphic automorphisms of a real analytic CR manifold can be considered as (pointwise) Lie symmetries of a holomorphic second order PDE system defining its Segre family. This allows to use general methods of the geometric PDE theory in order to study the CR geometry of real analytic manifolds.

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32Hxx)

This page was built for publication: Segre varieties, CR geometry and Lie symmetries of second order PDE systems

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6470250)