Journal of Mathematical Sciences

, Volume 161, Issue 3, pp 392–404 | Cite as

Visibility metrics on the infinity boundary of the complex hyperbolic plane

  • A. M. Kuznetsov

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.


Russia Auxiliary Result Hyperbolic Plane Canonical Class Visibility Metrics 
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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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