3 papers
math.MG2025
Rough isometry between Gromov hyperbolic spaces and unbounded uniformization
Vasudevarao Allu, Alan P Jose
In a recent paper, Zhou, Ponnusamy, and Rasila [Math. Nachr. (2025)] have established that the conformal deformations, with parameter , of a Gromov hyperbolic space via Busem…
math.MG2024
Uniformization of intrinsic Gromov hyperbolic spaces
Vasudevarao Allu, Alan P Jose
The purpose of this paper is to provide a uniformization procedure for Gromov hyperbolic spaces, which need not be geodesic or proper. We prove that the conformal deformation of a…
math.CV2024
Uniformization of intrinsic Gromov hyperbolic spaces with Busemann functions
Vasudevarao Allu, Alan P Jose
For any intrinsic Gromov hyperbolic space we establish a Gehring-Hayman type theorem for conformally deformed spaces. As an application, we prove that any complete intrinsic hyperb…