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On `A characterization of R-Fuchsian groups acting on the complex hyperbolic plane'
R-Fuchsian groups complex hyperbolic plane Geometric Topology
2011/7/10
Abstract: We indicate a C-Fuchsian counter-example to the result with the above title announced at this http URL and prove a stronger statement.
Hausdorff dimension of visibility sets for well-behaved continuum percolation in the hyperbolic plane
Boolean model continuum percolation fractal geometry Hausdorff-dimension hyperbolic geometry
2011/6/1
Abstract: Let Z be a so-called well-behaved percolation, i.e. a certain random closed set in the hyperbolic plane, whose law is invariant under all isometries; for example the covered region in a Pois...
Asymptotics of visibility in the hyperbolic plane
Boolean model hyperbolic geometry visibility Poincar´ e disc
2011/1/17
At each point of a Poisson point process of intensity in the hyperbolic place, center a ball of bounded random radius. Consider the probability Pr that from a fixed point, there is some direction in...
Isometric Immersions of the Hyperbolic Plane into the Hyperbolic Space
hyperbolic space developable surface null curve K¨ahler and para-K¨ahler structure
2010/9/21
In this paper, we parametrize the space of isometric immersions of the hyperbolic plane into the hyperbolic 3-space in terms of null-causal curves in the space of oriented geodesics. Moreover, we char...
A simple proof of the isoperimetric theorem for the hyperbolic plane
isoperimetric theorem hyperbolic plane
2010/9/1
В этой методической заметке приводятся четкая формулировка и короткое доказа-тельство основного результата работы [A] (см. ниже), а также проясняется его связь с изопериметрической теоремой для плоско...