Quasi-Isometries Need Not Induce Homeomorphisms of Contracting Boundaries with the Gromov Product Topology

The notion of generalises simultaneously and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.

The conjugacy problem for relatively hyperbolic groups.

Bumagin, Inna (2004)

Algebraic & Geometric Topology

Similarity:

The visual sphere of Teichmüller space and a theorem of Masur-Wolf.

McCarthy, John D., Papadopoulos, Athanase (1998)

Annales Academiae Scientiarum Fennicae. Mathematica

Similarity:

Length functions and parameterizations of Teichmüller space for surfaces with cusps.

Hämenstadt, Ursula (2003)

Annales Academiae Scientiarum Fennicae. Mathematica

Similarity:

Stable Teichmüller quasigeodesics and ending laminations.

Mosher, Lee (2003)

Geometry & Topology

Similarity:

Topological geodesics and virtual rigidity.

Funar, Louis, Gadgil, Siddhartha (2001)

Algebraic & Geometric Topology

Similarity:

Non-hyperbolic closed geodesics.

Gudlaugur Thorbergsson (1979)

Mathematica Scandinavica

Similarity:

Teichmüller space is not Gromov hyperbolic.

Masur, Howard A., Wolf, Michael (1995)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

Similarity:

The geometry of Teichmüller space via geodesic currents.

Francis Bonahon (1988)

Inventiones mathematicae

Similarity: