A note on diastatic entropy and balanced metrics
Differential Geometry
2015-03-30 v2 Algebraic Geometry
Abstract
We give un upper bound Ent(\Omega, g)<\lambda\ of the diastatic entropy Ent(\Omega, g) of a complex bounded domain (\Omega, g) in terms of the balanced condition (in Donaldson terminology) of the Kaehler metric \lambda g. When (\Omega, g) is a homogeneous bounded domain we show that the converse holds true, namely if Ent(\Omega, g)<1 then g is balanced. Moreover, we explcit compute Ent(\Omega, g) in terms of Piatetski-Shapiro constants.
Keywords
Cite
@article{arxiv.1303.3217,
title = {A note on diastatic entropy and balanced metrics},
author = {Roberto Mossa},
journal= {arXiv preprint arXiv:1303.3217},
year = {2015}
}
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7 pages