Balanced metrics on Hartogs domains

Details Balanced metrics on Hartogs domains Balanced metrics on Hartogs domains

2010-09-21

arxiv.org/abs/1009.4106v2

Abh. Math. Semin. Univ. Hambg. 81 (2011), no. 1, 69--77

Mathematics

Differential Geometry

9 pages

Scientific paper

10.1007/s12188-011-0048-1

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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