A combination theorem for convex hyperbolic manifolds, with applications to surfaces in 3-manifolds
نویسندگان
چکیده
منابع مشابه
A Combination Theorem for Convex Hyperbolic Manifolds, with Applications to Surfaces in 3-manifolds
We prove the convex combination theorem for hyperbolic n-manifolds. Applications are given both in high dimensions and in 3 dimensions. One consequence is that given two geometrically finite subgroups of a discrete group of isometries of hyperbolic n-space, satisfying a natural condition on their parabolic subgroups, and whose intersection is a separable subgroup, there are finite index subgrou...
متن کاملJ ul 2 00 5 A Combination Theorem For Convex Hyperbolic Manifolds , With Applications To Surfaces In 3 - Manifolds
We prove the convex combination theorem for hyperbolic n-manifolds. Many applications are given both in high dimensions and in 3 dimensions. One consequence is that given two geometrically finite subgroups of a discrete group of isometries of hyperbolic n-space, satisfying a natural condition on their parabolic subgroups, there are finite index subgroups which generated a subgroup that is an am...
متن کاملul 2 00 5 A Combination Theorem For Convex Hyperbolic Manifolds , With Applications To Surfaces In 3 - Manifolds
We prove the convex combination theorem for hyperbolic n-manifolds. Applications are given both in high dimensions and in 3 dimensions. One consequence is that given two geometrically finite subgroups of a discrete group of isometries of hyperbolic nspace, satisfying a natural condition on their parabolic subgroups, there are finite index subgroups which generate a subgroup that is an amalgamat...
متن کامل1 5 Ju l 2 00 5 A Combination Theorem For Convex Hyperbolic Manifolds , With Applications To Surfaces In 3 - Manifolds .
We prove the convex combination theorem for hyperbolic n-manifolds. Applications are given both in high dimensions and in 3 dimensions. One consequence is that given two geometrically finite subgroups of a discrete group of isometries of hyperbolic nspace, satisfying a natural condition on their parabolic subgroups, there are finite index subgroups which generate a subgroup that is an amalgamat...
متن کاملA finiteness theorem for hyperbolic 3-manifolds
We prove that there are only finitely many closed hyperbolic 3-manifolds with injectivity radius and first eigenvalue of the Laplacian bounded below whose fundamental groups can be generated by a given number of elements.
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ژورنال
عنوان ژورنال: Journal of Topology
سال: 2008
ISSN: 1753-8416
DOI: 10.1112/jtopol/jtn013