Bonk and Kleiner showed that any metric sphere which is Ahlfors 2-regular and linearly locally contractible is quasisymmetrically equivalent to the standard sphere in a quantitative way. We extend this result to arbitrary metric compact orientable surfaces
Summary.- We show that every locally compact quasi-metrizable Moore space admits a uniformly locally...
We study certain approximately self-similar metric spaces that arise from expanding Thurston maps $f...
We study certain approximately self-similar metric spaces that arise from expanding Thurston maps $f...
The classical Uniformization Theorem states that every simply connected Riemann surface is conformal...
We give an alternate proof to the following generalization of the uniformization theorem by B...
We establish uniformization results for metric spaces that are homeomorphic to the Euclidean plane ...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135319/1/plms0783.pd
Applying the Bonk-Kleiner characterization of Ahlfors 2-regular quasispheres, we show that a metric...
Doctor of PhilosophyDepartment of MathematicsHrant HakobyanWe study the problem of determining when ...
Doctor of PhilosophyDepartment of MathematicsHrant HakobyanWe study the problem of determining when ...
We consider extensions of quasiconformal maps and the uniformization theorem to the setting of metri...
A classical problem in geometric topology is to recognize when a topological space is a topological ...
Todistamme metristen pintojen uniformisaatiolauseen. Metrinen pinta on topologinen pinta varustettun...
The theory of quasiconformal mappings generalizes to higher dimensions the geometric viewpoint in co...
In this thesis we construct concrete examples of quasispheres and quasisymmetric spheres. These exam...
Summary.- We show that every locally compact quasi-metrizable Moore space admits a uniformly locally...
We study certain approximately self-similar metric spaces that arise from expanding Thurston maps $f...
We study certain approximately self-similar metric spaces that arise from expanding Thurston maps $f...
The classical Uniformization Theorem states that every simply connected Riemann surface is conformal...
We give an alternate proof to the following generalization of the uniformization theorem by B...
We establish uniformization results for metric spaces that are homeomorphic to the Euclidean plane ...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135319/1/plms0783.pd
Applying the Bonk-Kleiner characterization of Ahlfors 2-regular quasispheres, we show that a metric...
Doctor of PhilosophyDepartment of MathematicsHrant HakobyanWe study the problem of determining when ...
Doctor of PhilosophyDepartment of MathematicsHrant HakobyanWe study the problem of determining when ...
We consider extensions of quasiconformal maps and the uniformization theorem to the setting of metri...
A classical problem in geometric topology is to recognize when a topological space is a topological ...
Todistamme metristen pintojen uniformisaatiolauseen. Metrinen pinta on topologinen pinta varustettun...
The theory of quasiconformal mappings generalizes to higher dimensions the geometric viewpoint in co...
In this thesis we construct concrete examples of quasispheres and quasisymmetric spheres. These exam...
Summary.- We show that every locally compact quasi-metrizable Moore space admits a uniformly locally...
We study certain approximately self-similar metric spaces that arise from expanding Thurston maps $f...
We study certain approximately self-similar metric spaces that arise from expanding Thurston maps $f...
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