Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg

, Volume 81, Issue 1, pp 69–77

Balanced metrics on Hartogs domains


DOI: 10.1007/s12188-011-0048-1

Cite this article as:
Loi, A. & Zedda, M. Abh. Math. Semin. Univ. Hambg. (2011) 81: 69. doi:10.1007/s12188-011-0048-1


An n-dimensional strictly pseudoconvex Hartogs domain DF can be equipped with a natural Kähler metric gF. In this paper we prove that if m0gF is balanced for a given positive integer m0 then m0>n and (DF,gF) is holomorphically isometric to an open subset of the n-dimensional complex hyperbolic space.


Kähler metricsBalanced metricsHartogs domains

Mathematics Subject Classification (2000)


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© Mathematisches Seminar der Universität Hamburg and Springer 2011

Authors and Affiliations

  1. 1.Dipartimento di Matematica e InformaticaUniversità di CagliariCagliariItaly