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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58728We 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.Complex Variables32HSegre varieties, CR geometry and Lie symmetries of second order PDE systemstext