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arXiv · 1009.4106

Balanced metrics on Hartogs domains

Andrea Loi·Michela Zedda
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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.

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Andrea Loi, Michela Zedda. 2010-09-24. Balanced metrics on Hartogs domains. https://doi.org/10.1007/s12188-011-0048-1

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