Uniform densities on hyperbolic Riemannl surfaces
نویسندگان
چکیده
منابع مشابه
Hyperbolic surfaces of $L_1$-2-type
In this paper, we show that an $L_1$-2-type surface in the three-dimensional hyperbolic space $H^3subset R^4_1$ either is an open piece of a standard Riemannian product $ H^1(-sqrt{1+r^2})times S^{1}(r)$, or it has non constant mean curvature, non constant Gaussian curvature, and non constant principal curvatures.
متن کاملComplex networks on hyperbolic surfaces
We explore a novel method to generate and characterize complex networks by means of their embedding on hyperbolic surfaces. Evolution through local elementary moves allows the exploration of the ensemble of networks which share common embeddings and consequently share similar hierarchical properties. This method provides a new perspective to classify network-complexity both on local and global ...
متن کاملTransitive Hyperbolic Sets on Surfaces
We show that every transitive hyperbolic set on a surface is included in a locally maximal hyperbolic set.
متن کاملUniform Estimates for Closed Geodesics and Homology on Finite Area Hyperbolic Surfaces
In this note, we study the distribution of closed geodesics in homology on a finite area hyperbolic surface. We obtain an estimate which is uniform as the homology class varies, refining an asymptotic formula due to C. Epstein. 0. Introduction Let M be a finite area hyperbolic surface, i.e., the quotient of the hyperbolic plane H by the free action of a group of isometries such that the fundame...
متن کاملUniform Approximation on Riemann Surfaces
This thesis consists of three contributions to the theory of complex approximation on Riemann surfaces. It is known that if E is a closed subset of an open Riemann surface R and f is a holomorphic function on a neighbourhood of E, then it is “usually” not possible to approximate f uniformly by functions holomorphic on all of R. In Chapter 2, we show, however, that for every open Riemann surface...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1973
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000015695