Flows and joins of metric spaces.
Mineyev, Igor (2005)
Geometry & Topology
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Mineyev, Igor (2005)
Geometry & Topology
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Davis, Michael W., Okun, Boris, Zheng, Fangyang (1999)
Geometry & Topology
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Zhu, Xiaodong, Bonahon, Francis (2004)
Geometry & Topology
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Farb, Benson, Mosher, Lee (2002)
Geometry & Topology
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Thomas Foertsch (2005)
Colloquium Mathematicae
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We consider the Hausdorff metric on the space of compact convex subsets of a proper, geodesically complete metric space of globally non-positive Busemann curvature in which geodesics do not split, and characterize their surjective isometries. Moreover, an analogous characterization of the surjective isometries of the space of compact subsets of a proper, uniquely geodesic, geodesically complete metric space in which geodesics do not split is given.
Hruska, G.Christopher (2004)
Geometry & Topology
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Kaewcharoen, A., Kirk, W.A. (2006)
Abstract and Applied Analysis
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Karlsson, Anders (2005)
Geometry & Topology
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Francis Bonahon (1997)
Annales scientifiques de l'École Normale Supérieure
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McCarthy, John D., Papadopoulos, Athanase (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Albert Fathi, L. Flaminio (1993)
Annales de l'institut Fourier
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We study deformations of compact Riemannian manifolds of negative curvature. We give an equation for the infinitesimal conjugacy between geodesic flows. This in turn allows us to compute derivatives of intersection of metrics. As a consequence we obtain a proof of a theorem of Wolpert.