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math.DG2008★ 1 cited
Canonical metrics on Hartogs domains
Andrea Loi, Fabio Zuddas
An -dimensional Hartogs domain with strongly pseudoconvex boundary can be equipped with a natural Kaehler metric . This paper contains two results. In the first one w…
math.DG2008
Riemannian geometry of Hartogs domains
Antonio J. Di Scala, Andrea Loi, Fabio Zuddas
Let $D_F = \{(z_0, z) \in {\C}^{n} | |z_0|^2 < b, \|z\|^2 < F(|z_0|^2) \}$ be a strongly pseudoconvex Hartogs domain endowed with the \K metric associated to the \K form $ω_F…
math.DG2007★ 4 cited
Extremal metrics on Hartogs domains
Andrea Loi, Fabio Zuddas
An -dimensional Hartogs domain with strongly pseudoconvex boundary can be equipped with a natural \K metric . In this paper we prove that if is an extremal \K m…