Real-analytic coordinates for smooth strictly pseudoconvex CR-structures
Complex Variables
2019-06-25 v1 Differential Geometry
Abstract
For a smooth strictly pseudoconvex hypersurface in a complex manifold, we give a necessary and sufficient condition for being CR-diffeomorphic to a real-analytic CR manifold. Our condition amounts to a holomorphic extension property for the canonically associated function expressing -jets of the formal Segre varieties in terms of their -jets. We also express this condition in equivalent terms for a Fefferman type determinant
Keywords
Cite
@article{arxiv.1906.09989,
title = {Real-analytic coordinates for smooth strictly pseudoconvex CR-structures},
author = {Ilya Kossovskiy and Dmitri Zaitsev},
journal= {arXiv preprint arXiv:1906.09989},
year = {2019}
}