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math.MG2013
Simple closed geodesics on most Alexandrov surfaces
Joël Rouyer, Costin Vîlcu
We study the existence of simple closed geodesics on most (in the sense of Baire category) Alexandrov surfaces with curvature bounded below, compact and without boundary. We show t…
math.MG2013
The connected components of the space of Alexandrov surfaces
Joël Rouyer, Costin Vîlcu
Denote by the set of all compact Alexandrov surfaces with curvature bounded below by without boundary, endowed with the topology induced by the Gromov-Hausdorf…