Examples of Minimal Laminations and Associated Currents
Dynamical Systems
2010-02-16 v1 Complex Variables
Abstract
In this paper, we construct various examples of holomorphic laminations, with leaves of dimension 1, and we also study some of their dynamical properties. In particular we study existence and uniqueness of positive closed currents. We construct minimal laminations with infinitely many mutually singular closed currents and no non-closed harmonic current. We also consider embeddings to projective space.
Cite
@article{arxiv.1002.2779,
title = {Examples of Minimal Laminations and Associated Currents},
author = {John Erik Fornaess and Nessim Sibony and Erlend Fornaess Wold},
journal= {arXiv preprint arXiv:1002.2779},
year = {2010}
}
Comments
36 pages