In:
Forum Mathematicum, Walter de Gruyter GmbH, Vol. 28, No. 4 ( 2016-7-1), p. 783-794
Abstract:
We prove the Gromov non-hyperbolicity with respect to the Kobayashi distance for 𝒞 1 , 1 ${\mathcal{C}^{1,1}}$ -smooth convex domains
in ℂ 2 ${\mathbb{C}^{2}}$ which contain an analytic disc in the boundary or have a point of infinite type with rotation symmetry. The same is shown for “generic” product spaces, as well as for the symmetrized polydisc and the tetrablock.
On the other hand, examples of smooth, non-pseudoconvex, Gromov hyperbolic domains in ℂ n ${\mathbb{C}^{n}}$ are given.
Type of Medium:
Online Resource
ISSN:
0933-7741
,
1435-5337
DOI:
10.1515/forum-2014-0113
Language:
English
Publisher:
Walter de Gruyter GmbH
Publication Date:
2016
detail.hit.zdb_id:
2006069-5
detail.hit.zdb_id:
2180426-6
SSG:
17,1
Permalink