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.
KeywordsRussia Auxiliary Result Hyperbolic Plane Canonical Class Visibility Metrics
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