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

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

2000-02-21

arxiv.org/abs/math/0002163v1

Mathematics

Complex Variables

Scientific paper

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.

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