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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2008 Volume 353, Pages 70–92 (Mi znsl1633)

This article is cited in 1 paper

Visibility metrics on the boundary at infinity for the complex hyperbolic plane

A. M. Kuznetsov

Saint-Petersburg State University

Abstract: We construct limiting spherical and horospherical metrics at the boundary at the infinity of the complex hyperbolic plane and prove that the limiting spherical metric is both the Carnot–Caratheodory metric and the visibility metric simultaneously. Bibl. – 6 titles.

UDC: 514.13

Received: 01.09.2006


 English version:
Journal of Mathematical Sciences (New York), 2009, 161:3, 392–404

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