Deformation of Brody curves and mean dimension
Differential Geometry
2007-12-04 v1 Complex Variables
Abstract
The main purpose of this paper is to show that ideas of deformation theory can be applied to "infinite dimensional geometry". We develop the deformation theory of Brody curves. Brody curve is a kind of holomorphic map from the complex plane to the projective space. Since the complex plane is not compact, the parameter space of the deformation can be infinite dimensional. As an application we prove a lower bound on the mean dimension of the space of Brody curves.
Keywords
Cite
@article{arxiv.0712.0266,
title = {Deformation of Brody curves and mean dimension},
author = {Masaki Tsukamoto},
journal= {arXiv preprint arXiv:0712.0266},
year = {2007}
}
Comments
18 pages