Moduli space of Brody curves, energy and mean dimension

Masaki Tsukamoto

doi:10.1017/S0027763000025964

Moduli space of Brody curves, energy and mean dimension

Masaki Tsukamoto

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	27-58
Number of pages	32
Journal	Nagoya Mathematical Journal
Volume	192
DOIs	https://doi.org/10.1017/S0027763000025964
Publication status	Published - 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.1017/S0027763000025964

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