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Moduli Space of Brody Curves, Energy and Mean Dimension

Published online by Cambridge University Press:  11 January 2016

Masaki Tsukamoto
Masaki Tsukamoto*
Affiliation:
Department of Mathematics Faculty of Science Kyoto University, Kyoto 606-8502, Japan, tukamoto@math.kyoto-u.ac.jp
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Abstract

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A Brody curve is a holomorphic map from the complex plane ℂ to a Hermitian manifold with bounded derivative. In this paper we study the value distribution of Brody curves from the viewpoint of moduli theory. The moduli space of Brody curves becomes infinite dimensional in general, and we study its “mean dimension”. We introduce the notion of “mean energy” and show that this can be used to estimate the mean dimension.

Keywords

32H30
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 192 , 2008 , pp. 27 - 58
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2008

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