A. Loi

most citedExtremal metrics on Hartogs domains

4 citations · 5 across the 6 of their papers we have counts for

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math.DG2008★ 1 cited

Canonical metrics on Hartogs domains

Andrea Loi, Fabio Zuddas

An $n$ -dimensional Hartogs domain $D_{F}$ with strongly pseudoconvex boundary can be equipped with a natural Kaehler metric $g_{F}$ . This paper contains two results. In the first one w…

math.DG2008

Radial Balanced metrics on the unit disk

Antonio Greco, Andrea Loi

Let $Φ$ be a strictly plurisubharmonic and radial function on the unit disk ${\cal D}\subset {\complex}$ and let $g$ be the \K metric associated to the \K form $ω=\frac{i}{2}\parti…

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 $g_{F}$ associated to the \K form $ω_F…

math.DG2007★ 4 cited

Extremal metrics on Hartogs domains

Andrea Loi, Fabio Zuddas

An $n$ -dimensional Hartogs domain $D_{F}$ with strongly pseudoconvex boundary can be equipped with a natural \K metric $g_{F}$ . In this paper we prove that if $g_{F}$ is an extremal \K m…

math.DG2007

TYZ expansion for the Kepler manifold

Todor Gramchev, Andrea Loi

The main goal of the paper is to address the issue of the existence of Kempf's distortion function and the Tian-Yau-Zelditch (TYZ) asymptotic expansion for the Kepler manifold - an…