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math.GT2019
Degeneration of 3-dimensional hyperbolic cone structures with decreasing cone angles
Ken'ichi Yoshida
For 3-dimensional hyperbolic cone structures with cone angles , local rigidity is known for , but global rigidity is known only for . The proof…
math.GT2019
Quotient topology on the set of commensurability classes of hyperbolic 3-manifolds
Ken'ichi Yoshida
We investigate relation between Dehn fillings and commensurability of hyperbolic 3-manifolds. The set consisting of the commensurability classes of hyperbolic 3-manifolds admits th…