A characterization of short curves of a Teichmüller geodesic.
Rafi, Kasra (2005)
Geometry & Topology
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Rafi, Kasra (2005)
Geometry & Topology
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E. Woolgar (1997)
Banach Center Publications
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We discuss an apparent paradox (and conjectured resolution) of Jacobson and Venkataramani concerning 'temporarily toroidal' black hole horizons, in light of a recent connectivity theorem for spaces of complete causal curves. We do this in a self-contained manner by first reviewing the 'fastest curve argument' which proves this connectivity theorem, and we note that active topological censorship can be derived as a corollary of this argument. We argue that the apparent paradox arises...
Major, Imre
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McCarthy, John D., Papadopoulos, Athanase (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Chang-Yu Guo, Pekka Koskela (2014)
Open Mathematics
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We establish the basic properties of the class of generalized simply connected John domains.
Cyril Lecuire (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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The bending map of a hyperbolic -manifold maps a convex cocompact hyperbolic metric on a -manifold with boundary to its bending measured geodesic lamination. As proved in [KeS] and [KaT], this map is continuous. In the present paper we study the extension of this map to the space of geometrically finite hyperbolic metrics. We introduce a relationship on the space of measured geodesic laminations and show that the quotient map obtained from the bending map is continuous.
Victor Bangert (1980)
Compositio Mathematica
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