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We consider a surface S and a vector field u on S. We introduce a tensor χ(u) which measures the infinitesimal variations of the principal curvatures of S subject to u. ...
Let S and S′ be compact Riemann surfaces of the same genus g (gge2) endowed with the Poincaré metric of constant negative curvature -1. par The authors show that for every epsilon>0, there exists an integer m=m(g,epsilon) with the property: Assum ...
Although the Internet is an essential conduit for many business activities, it isn't rendering the physical world any less important, as the failures of many Web merchants demonstrate. People need social and sensual contact. The companies that succeed will ...
A note presenting a selection of results that are elaborated upon in Cocycle superrigidity and bounded cohomology for negatively curved spaces and Orbit equivalence rigidity and bounded cohomology. Proofs are given for illustrative "toy-cases". ...
The goal of this paper is to give an explicit analysis of the geodesic flow on the three dimensional Lie group SOL. In particular we describe its horizon. (The horizon of a riemannian manifold is a topological space parametrizing the asymptotic classes of ...
