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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…
math.CV2023
On invariance of John domains under quasisymmetric mappings
Vasudevarao Allu, Alan P Jose
In this paper, we prove that if a homeomorphism is quasisymmetric relative to the boundary of the domain then it maps a length John domain to a diameter John domain. Moreover, we p…