Journal of Mathematical Sciences

, Volume 161, Issue 3, pp 392–404

Visibility metrics on the infinity boundary of the complex hyperbolic plane

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Limiting spherical and horospherical metrics an the infinity boundary of the complex hyperbolic plane are constructed. It is proved that the limiting spherical metric, which automatically is the Carnot–Carathéodory metric, is also a visibility metric, i.e., it belongs to a canonical class of metrics on the infinity boundary. Bibliography: 6 titles.

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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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