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Matematicheskie Trudy, 2007, Volume 10, Number 1, Pages 16–28 (Mi mt28)  
This article is cited in 4 scientific papers (total in 4 papers)

Geometry of Ideal Boundaries of Geodesic Spaces with Nonpositive Curvature in the Sense of Busemann

P. D. Andreev

M. V. Lomonosov Pomor State University
Full-text PDF (222 kB) Citations (4)
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Abstract: We establish relations between different approaches to the ideal closure of a geodesic metric space with nonpositive curvature in the sense of Busemann. We construct the counterexample showing that the Busemann ideal closure can differ from the geodesic closure.
Key words: geodesic, nonpositive curvature, Busemann space, horofunction, Busemann function, metric boundary, geodesic boundary, CAT(0)-space.
Received: 12.07.2005
English version:
Siberian Advances in Mathematics, 2008, Volume 18, Issue 2, Pages 95–102
DOI: https://doi.org/10.3103/S105513440802003X
Bibliographic databases:
UDC: 514.774.8
Language: Russian
Citation: P. D. Andreev, “Geometry of Ideal Boundaries of Geodesic Spaces with Nonpositive Curvature in the Sense of Busemann”, Mat. Tr., 10:1 (2007), 16–28; Siberian Adv. Math., 18:2 (2008), 95–102
Citation in format AMSBIB
\Bibitem{And07}
\by P.~D.~Andreev
\paper Geometry of Ideal Boundaries of Geodesic Spaces with Nonpositive Curvature in the Sense of Busemann
\jour Mat. Tr.
\yr 2007
\vol 10
\issue 1
\pages 16--28
\mathnet{http://mi.mathnet.ru/mt28}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2485365}
\transl
\jour Siberian Adv. Math.
\yr 2008
\vol 18
\issue 2
\pages 95--102
\crossref{https://doi.org/10.3103/S105513440802003X}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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