Abstract
It is known that for a geodesic metric space hyperbolicity in the sense of Gromov implies geodesic stability. In this paper it is shown that the converse is also true. So Gromov hyperbolicity and geodesic stability are equialent for geodesic metric spaces.
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Supported as a Feodor Lynen Fellow of the Alexander von Humboldt foundation.
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Bonk, M. Quasi-geodesic segments and Gromov hyperbolic spaces. Geom Dedicata 62, 281–298 (1996). https://doi.org/10.1007/BF00181569
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DOI: https://doi.org/10.1007/BF00181569