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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 5, Pages 1083–1096 (Mi smj2032)  
This article is cited in 7 scientific papers (total in 7 papers)

Spherical structures on torus knots and links

A. A. Kolpakova, A. D. Mednykhb

a Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (406 kB) Citations (7)
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Abstract: We study two infinite families of cone manifolds endowed with a spherical metric. The singular set of the first of them is the torus knot $\mathrm t(2n+1,2)$ and the singular set of the second is the two-component link $\mathrm t(2n,2)$. We find the domains of sphericity of these cone manifolds in terms of cone angles and obtain analytic formulas for their volumes.
Keywords: spherical geometry, cone manifold, knot, link.
Received: 02.05.2008
Revised: 05.12.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 5, Pages 856–866
DOI: https://doi.org/10.1007/s11202-009-0096-2
Bibliographic databases:
UDC: 514.135
Language: Russian
Citation: A. A. Kolpakov, A. D. Mednykh, “Spherical structures on torus knots and links”, Sibirsk. Mat. Zh., 50:5 (2009), 1083–1096; Siberian Math. J., 50:5 (2009), 856–866
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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