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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.DG1998
Regular minimal nets on surfaces of constant negative curvature
A. Vdovina, E. Selivanova
An embedded cubic graph consisting of segments of geodesics such that the angles at any vertex are equal to is a closed local minimal net. This net is regular if all segment…