A Homogeneous Function Constant along the Leaves of a Foliation
Complex Variables
2018-07-04 v1
Abstract
Given a smooth foliation by complex curves (locally around a point ) which is "compatible" with the foliation by spheres centered at the origin, we construct a smooth real-valued function in a neighborhood of said point, which is positive, homogeneous and constant along the leaves. A corollary we obtain from this is relevant to the problem of "bumping out" certain pseudoconvex domains in .
Cite
@article{arxiv.1807.01199,
title = {A Homogeneous Function Constant along the Leaves of a Foliation},
author = {Lars Simon},
journal= {arXiv preprint arXiv:1807.01199},
year = {2018}
}
Comments
13 pages