Nondefective stationary discs and 2-jet determination in higher codimension
Florian Bertrand, Francine Meylan
TL;DR
This paper explores the relationship between stationary discs, defect of analytic discs, and 2-jet determination of CR automorphisms in higher codimension real submanifolds of complex space, providing new insights into their geometric properties.
Contribution
It establishes new links between stationary discs, defect, and 2-jet determination for CR automorphisms in higher codimension settings.
Findings
Connections between stationary discs and defect are clarified.
Conditions for 2-jet determination of CR automorphisms are identified.
Results apply to generic nondegenerate real submanifolds in C^N.
Abstract
We discuss the links between stationary discs, the defect of analytic discs, and 2-jet determination of CR automorphisms of generic nondegenerate real submanifolds of C^N of class C^4.
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