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Gromov hyperbolicity of the \tilde{j}_G metric and boundary correspondence.
- Source :
-
Proceedings of the American Mathematical Society . Jul2022, Vol. 150 Issue 7, p2839-2847. 9p. - Publication Year :
- 2022
-
Abstract
- Let G\subsetneq \mathbb {R}^n be an open set. It is shown by Hästö that G equipped with the \tilde {j}_G metric is Gromov hyperbolic. The purpose of this paper is to show that there is a natural quasisymmetric correspondence between the Gromov boundary of (G, \tilde {j}_G) and its Euclidean boundary \partial G. Both bounded and unbounded cases are in our considerations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HYPERBOLIC spaces
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 150
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 157053176
- Full Text :
- https://doi.org/10.1090/proc/15635