7 citations · 9 across the 7 of their papers we have counts for
7 papers · 1 filter
Conformally invariant complete metrics
Toshiyuki Sugawa, Matti Vuorinen, Tanran Zhang
For a domain in the one-point compactification of , we characterize the completeness of the mod…
On the hyperbolic distance of -times punctured spheres
Toshiyuki Sugawa, Matti Vuorinen, Tanran Zhang
The length of the shortest closed geodesic in a hyperbolic surface is called the systole of When is an -times punctured sphere where…
Construction of nearly hyperbolic distance on punctured spheres
Toshiyuki Sugawa, Tanran Zhang
We define a distance function on the bordered punctured disk in the complex plane, which is comparable with the hyperbolic distance of the punctured unit disk $0<|z|…
Uniformisation of a once-punctured annulus
Tanran Zhang
The universal cover or the covering group of a hyperbolic Riemann surface is important but hard to express explicitly. It can be, however, detected by the uniformisation and a…
A note on the asymptotic behavior of conformal metrics with negative curvatures near isolated singularities
Tanran Zhang
The asymptotic behavior of conformal metrics with negative curvatures near an isolated singularity for at most second order derivatives was described by Kraus and Roth in one of th…
Variants of Ahlfors' lemma and properties of the logarithmic potentials
Tanran Zhang
As a special class of conformal metrics with negative curvatures, SK-metrics play a crucial role in metric spaces. This paper concerns the variants of Ahlfors' lemma in an SK-metri…