62 citations · 211 across the 28 of their papers we have counts for
6 papers · 1 filter
Bounded cohomology and optimal separating constant for representations
Yushi Nakano, Teruhiko Soma
Let be a closed oriented surface of genus and a complete hyperbolic 3-manifold with a marking . We consider the case that has no parabolic cu…
Volume and structure of hyperbolic 3-manifolds
Teruhiko Soma
In this paper, we show that Gromov-Thurston's principle works for hyperbolic 3-manifolds of infinite volume and with finitely generated fundamental group. As an application, we hav…
The Smale conjecture for Seifert fibered spaces with hyperbolic base orbifold
Darryl McCullough, Teruhiko Soma
Let M be a closed orientable Seifert fibered 3-manifold with a hyperbolic base 2-orbifold, or equivalently, admitting a geometry modeled on H^2 \times R or the universal cover of S…
Geometry and topology of geometric limits I
Ken'ichi Ohshika, Teruhiko Soma
In this paper, we classify completely hyperbolic 3-manifolds corresponding to geometric limits of Kleinian surface groups isomorphic to for a finite-type hyperbolic surfac…
Existence of ruled wrappings in hyperbolic 3-manifolds
Teruhiko Soma
We present a short elementary proof of an existence theorem of certain CAT(-1)-surfaces in open hyperbolic 3-manifolds. The main construction lemma in Calegari and Gabai's proof of…
Geometric limits of quasi-Fuchsian groups
Teruhiko Soma
In this paper, we will determine the topological types of hyperbolic 3-anifolds H^3/G such that G is a geometric limit of any algebraically convergent sequence of quasi-Fuchsian gr…