Two-dimensional slices of non-pseudoconvex open sets
Complex Variables
2012-11-19 v1
Abstract
Let be a non-pseudoconvex open set in and be the union of all two-dimensional planes with non-empty and non-pseudoconvex intersection with Sufficient conditions are given for to belong to a complex line. Moreover, in the -smooth case, it is shown that .
Cite
@article{arxiv.1103.4323,
title = {Two-dimensional slices of non-pseudoconvex open sets},
author = {Nikolai Nikolov and Peter Pflug},
journal= {arXiv preprint arXiv:1103.4323},
year = {2012}
}