Stationary discs and finite jet determination for CR mappings in higher codimension
Complex Variables
2020-06-11 v2
Abstract
We discuss stationary discs for generic CR manifolds and apply them to the problem of finite jet determination for CR mappings. We prove that a CR diffeomorphism of two finitely smooth strictly pseudoconvex Levi generating CR manifolds is uniquely determined by its 2-jet at a given point. A new key element of the proof is the existence of non-defective stationary discs.
Keywords
Cite
@article{arxiv.1912.03782,
title = {Stationary discs and finite jet determination for CR mappings in higher codimension},
author = {Alexander Tumanov},
journal= {arXiv preprint arXiv:1912.03782},
year = {2020}
}
Comments
10 pages