A non-existence theorem for Morse type holomorphic foliations of codimension one transverse to spheres
Complex Variables
2008-11-13 v1 Dynamical Systems
Abstract
We prove that a Morse type codimension one holomorphic foliation is not transverse to a sphere in the complex affine space. Also we characterize the variety of contacts of a linear foliation with concentric spheres.
Keywords
Cite
@article{arxiv.0811.1818,
title = {A non-existence theorem for Morse type holomorphic foliations of codimension one transverse to spheres},
author = {Toshikazu Ito and Bruno Scardua},
journal= {arXiv preprint arXiv:0811.1818},
year = {2008}
}