Explicit construction of stationary discs and its consequences for nondegenerate quadrics

Abstract

We give an explicit construction of a key family of stationary discs attached to a nondegenerate model quadric in CN and derive a necessary condition for which (each lift) of those stationary discs is uniquely determined by its 1-jet at a given point. This unique 1-jet determination is a crucial step to deduce 2-jet determination for CR automorphisms of generic real submanifolds in CN © 2023 Scuola Normale Superiore. All rights reserved.