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Injective hyperbolicity of domains

Marius Overholt (1995)

Annales Polonici Mathematici

The pseudometric of Hahn is identical to the Kobayashi-Royden pseudometric on domains of dimension greater than two. Thus injective hyperbolicity coincides with ordinary hyperbolicity in this case.

Inner k -th Carathéodory-Reiffen completeness of Reinhardt domains

Paweł Zapałowski (2004)

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

A description of bounded pseudoconvex Reinhardt domains, which are complete with respect to the inner k -th Carathéodory-Reiffen distance, is given.

Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.

Bo Berndtsson (1988)

Publicacions Matemàtiques

We construct a variant of Koppelman's formula for (0,q)-forms with values in a line bundle, O(l), on projective space. The formula is then applied to a study of a Radon transform for (0,q)-forms, introduced by Gindikin-Henkin-Polyakov. Our presentation follows along the basic lines of Henkin-Polyakov [3], with some simplifications.

Invariant Functions on Neil Parabola in Cn

Zapalowski, Pawel (2007)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: Primary 32F45.We present the Carathéodory and the inner Caratheodory distances and the Carathéodory-Reiffen metric on generalized Neil parabolas in Cn. It is a generalization of the results from [4] and [5].This work is a part of the Research Grant No. 1 PO3A 005 28, which is supported by public means in the programme promoting science in Poland in the years 2005–2008.

Invariant pluricomplex Green functions

Maciej Klimek (1995)

Banach Center Publications

The purpose of this paper is to present a concise survey of the main properties of biholomorphically invariant pluricomplex Green functions and to describe a number of new examples of such functions. A concept of pluricomplex geodesics is also discussed.

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