Balanced metrics on Hartogs domains
Differential Geometry
2012-04-16 v2 Complex Variables
Abstract
An n-dimensional strictly pseudoconvex Hartogs domain D_F can be equipped with a natural Kaehler metric g_F. In this paper we prove that if m_0g_F is balanced for a given positive integer m_0 then m_0>n and (D_F, g_F) is holomorphically isometric to an open subset of the n-dimensional complex hyperbolic space.
Cite
@article{arxiv.1009.4106,
title = {Balanced metrics on Hartogs domains},
author = {Andrea Loi and Michela Zedda},
journal= {arXiv preprint arXiv:1009.4106},
year = {2012}
}
Comments
9 pages