TY - JOUR
T1 - Moduli space of Brody curves, energy and mean dimension
AU - Tsukamoto, Masaki
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
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U2 - 10.1017/S0027763000025964
DO - 10.1017/S0027763000025964
M3 - Article
AN - SCOPUS:67449136309
VL - 192
SP - 27
EP - 58
JO - Nagoya Mathematical Journal
JF - Nagoya Mathematical Journal
SN - 0027-7630
ER -