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math.GT2005★ 6 cited
Extra-large metrics
Igor Rivin
An extra large metric is a spherical cone metric with all cone angles greater than 2 pi and every closed geodesic longer than 2pi. We show that every two-dimensional extra large me…
math.GT2005★ 9 cited
Continuity of volumes -- on a generalization of a conjecture of J. W. Milnor
Igor Rivin
In his paper "On the Schlafli differential equality", J. Milnor conjectured that the volume of n-dimensional hyperbolic and spherical simplices, as a function of the dihedral angle…