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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 353, Pages 70–92 (Mi znsl1633)  
This article is cited in 1 scientific paper (total in 1 paper)

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

A. M. Kuznetsov

Saint-Petersburg State University
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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.
Received: 01.09.2006
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 161, Issue 3, Pages 392–404
DOI: https://doi.org/10.1007/s10958-009-9565-1
Bibliographic databases:
UDC: 514.13
Language: Russian
Citation: A. M. Kuznetsov, “Visibility metrics on the boundary at infinity for the complex hyperbolic plane”, Geometry and topology. Part 10, Zap. Nauchn. Sem. POMI, 353, POMI, St. Petersburg, 2008, 70–92; J. Math. Sci. (N. Y.), 161:3 (2009), 392–404
Citation in format AMSBIB
\Bibitem{Kuz08}
\by A.~M.~Kuznetsov
\paper Visibility metrics on the boundary at infinity for the complex hyperbolic plane
\inbook Geometry and topology. Part~10
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 353
\pages 70--92
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1633}
\zmath{https://zbmath.org/?q=an:1182.53033}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 161
\issue 3
\pages 392--404
\crossref{https://doi.org/10.1007/s10958-009-9565-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350651857}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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