Leafwise Holomorphic Functions
Differential Geometry
2007-05-23 v1
Abstract
It is a well-known and elementary fact that a holomorphic function on a compact complex manifold without boundary is necessarily constant. The purpose of the present article is to investigate whether, or to what extent, a similar property holds in the setting of holomorphically foliated spaces.
Cite
@article{arxiv.math/0109065,
title = {Leafwise Holomorphic Functions},
author = {R. Feres and A. Zeghib},
journal= {arXiv preprint arXiv:math/0109065},
year = {2007}
}