Generalized models and local invariants of Kohn-Nirenberg domains
Complex Variables
2007-05-23 v1
Abstract
We give an explicit verifiable characterization of weakly pseudoconvex but locally nonconvexifiable hypersurfaces of finite type in dimension two. It is expressed in terms of a generalized model, which captures local geometry of the hypersurface both in the complex tangential and nontangential directions. As an application we obtain a new class of nonconvexifiable pseudoconvex hypersurfaces with convex models.
Keywords
Cite
@article{arxiv.math/0703058,
title = {Generalized models and local invariants of Kohn-Nirenberg domains},
author = {Martin Kolar},
journal= {arXiv preprint arXiv:math/0703058},
year = {2007}
}