Gromov Hyperbolicity of Certain Conformal Invariant Metrics

نویسنده

  • Henri Lindén
چکیده

The unit ball B is shown to be Gromov hyperbolic with respect to the Ferrand metric λBn and the modulus metric μBn , and dimension dependent upper bounds for the Gromov delta are obtained. In the two-dimensional case Gromov hyperbolicity is proved for all simply connected domains G. For λG also the case G = R n \ {0} is studied.

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تاریخ انتشار 2007