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math.DG2003
On the number of extremal surfaces
Alina Vdovina
Let be a compact Riemann surface of genus of constant negative curvature -1. An extremal disk is an embedded (resp. covering) disk of maximal (resp. minimal) radius. A…
math.CO2003
Groups, periodic planes and hyperbolic buildings
Alina Vdovina
We give an elementary construction of polyhedra whose links are connected bipartite graphs, which are not necessarily isomorphic pairwise. We show, that the fundamental groups of s…
math.CO2003
Polyhedra with specified links
Alina Vdovina
We construct compact polyhedra with -gonal faces whose links are generalized 3-gons. It gives examples of cocompact hyperbolic bildings of type . For we get compac…