On the existence of parabolic actions in convex domains of \mathbb{C}^{k+1}

Title:

On the existence of parabolic actions in convex domains of \mathbb{C}^{k+1}

Creator:

Berteloot, François and Thu, Ninh Van

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:71341307-9bc8-4193-8c66-51a92db58021
uuid:71341307-9bc8-4193-8c66-51a92db58021
issn:0011-4642

Subject:

matematika, mathematics, parabolic boundary point, convex domain, automorphism group, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We prove that the one-parameter group of holomorphic automorphisms induced on a strictly geometrically bounded domain by a biholomorphism with a model domain is parabolic. This result is related to the Greene-Krantz conjecture and more generally to the classification of domains having a non compact automorphisms group. The proof relies on elementary estimates on the Kobayashi pseudo-metric., François Berteloot, Ninh Van Thu., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

579-585

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:3

Harvested from:

CDK

Metadata only:

false