The hyperbolic metric of a rectangle.
Beardon, A.F. (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
Similarity:
Displaying similar documents to “Sharp estimates for hyperbolic metrics and covering theorems of Landau type.”
The hyperbolic metric of a rectangle.
The hyperbolic metric in a rectangle. II.
Beardon, Alan F. (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
Similarity:
An isoperimetric inequality for logarithmic capacity.
Barnard, Roger W., Pearce, Kent, Solynin, Alexander Yu. (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
Similarity:
The Carathéodory topology for multiply connected domains I
Mark Comerford (2013)
Open Mathematics
Similarity:
We consider the convergence of pointed multiply connected domains in the Carathéodory topology. Behaviour in the limit is largely determined by the properties of the simple closed hyperbolic geodesics which separate components of the complement. Of particular importance are those whose hyperbolic length is as short as possible which we call meridians of the domain. We prove continuity results on convergence of such geodesics for sequences of pointed hyperbolic domains which converge...
The angular distribution of mass by Bergman functions.
Donald E. Marshall, Wayne Smith (1999)
Revista Matemática Iberoamericana
Similarity:
Let D = {z: |z| < 1} be the unit disk in the complex plane and denote by dA two-dimensional Lebesgue measure on D. For ε > 0 we define Σε = {z: |arg z| < ε}. We prove that for every ε > 0 there exists a δ > 0 such that if f is analytic, univalent and area-integrable on D, and f(0) = 0 then This problem arose in connection with a characterization by Hamilton, Reich and Strebel of extremal dilatation...
On the dynamics of isometries.
Karlsson, Anders (2005)
Geometry & Topology
Similarity:
Representation of curves of constant width in the hyperbolic plane.
Araújo, P.V. (1998)
Portugaliae Mathematica
Similarity:
The Carathéodory topology for multiply connected domains II
Mark Comerford (2014)
Open Mathematics
Similarity:
We continue our exposition concerning the Carathéodory topology for multiply connected domains which we began in [Comerford M., The Carathéodory topology for multiply connected domains I, Cent. Eur. J. Math., 2013, 11(2), 322–340] by introducing the notion of boundedness for a family of pointed domains of the same connectivity. The limit of a convergent sequence of n-connected domains which is bounded in this sense is again n-connected and will satisfy the same bounds. We prove a result...
Arbitrary complex powers of the Dirac operator on the hyperbolic unit ball.
Eelbode, D. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
Similarity:
On pairs of closed geodesics on hyperbolic surfaces
Nigel J. E. Pitt (1999)
Annales de l'institut Fourier
Similarity:
In this article we prove a trace formula for double sums over totally hyperbolic Fuchsian groups . This links the intersection angles and common perpendiculars of pairs of closed geodesics on with the inner products of squares of absolute values of eigenfunctions of the hyperbolic laplacian . We then extract quantitative results about the intersection angles and common perpendiculars of these geodesics both on average and individually.
Hyperbolization of Euclidean ornaments.
von Gagern, Martin, Richter-Gebert, Jürgen (2009)
The Electronic Journal of Combinatorics [electronic only]
Similarity: