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Higher asymptotics of the complex Monge-Ampère equation

C. Robin Graham (1987)

Compositio Mathematica

Holomorphic isometries of Cartan domains of type one

Edoardo Vesentini (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Holomorphic isometries for the Kobayashi metric of a class of Cartan domains are characterized.

Holomorphic mapping of annuli in $C^{n}$ and the associated extremal function

Eric Bedford, Dan Burns (1979)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Holomorphic semigroups of holomorphic isometries

Edoardo Vesentini (1988)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

A previous paper was devoted to the construction of non-trivial holomorphic families of holomorphic isometries for the Carathéodory metric of a bounded domain in a complex Banach space, fixing a point in the domain. The present article shows that such a family cannot exist if it contains a strongly continuous one parameter semigroup.

Horospheres and Iterates of Holomorphic Maps.

Marco Abate (1988)

Mathematische Zeitschrift

Hyperbolicity properties of quotient surfaces by freely operating arithmetic lattices

Eberhard Oeljeklaus, Christina Schmerling (2000)

Annales de l'institut Fourier

Let $D$ be a bounded symmetric domain in $ℂ^{2}$ and $Γ \subset {Aut}^{0} D$ an irreducible arithmetic lattice which operates freely on $D$ . We prove that the cusp–compactification $\overline{X}$ of $X = D / Γ$ is hyperbolic.