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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 1, Pages 3–24 (Mi smj845)  
This article is cited in 3 scientific papers (total in 3 papers)

A. D. Alexandrov's problem for CAT(0)-spaces

P. D. Andreev

M. V. Lomonosov Pomor State University
Full-text PDF (331 kB) Citations (3)
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Abstract: We solve the well-known problem by A. D. Alexandrov for nonpositively curved spaces. Let $X$ be a geodesically complete locally compact space nonpositively curved in the sense of Alexandrov and connected at infinity. The main theorem reads as follows: Each bijection $f\colon X\to X$ such that f and the inverse $f^{-1}$ of f preserve distance 1 is an isometry of $X$.
Keywords: Alexandrov?s problem, nonpositively curved space, isometry.
Received: 28.10.2004
Revised: 03.03.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 1, Pages 1–17
DOI: https://doi.org/10.1007/s11202-006-0001-1
Bibliographic databases:
UDC: 514.763.254
Language: Russian
Citation: P. D. Andreev, “A. D. Alexandrov's problem for CAT(0)-spaces”, Sibirsk. Mat. Zh., 47:1 (2006), 3–24; Siberian Math. J., 47:1 (2006), 1–17
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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