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Sbornik: Mathematics, 2016, Volume 207, Issue 12, Pages 1693–1708
DOI: https://doi.org/10.1070/SM8489 (Mi sm8489) 		 
Volume formulae for fibred cone-manifolds with spherical geometry

A. A. Kolpakov

University of Toronto, Canada
English version PDF (476 kB)
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DOI: https://doi.org/10.1070/SM8489
Abstract: We classify cone-manifold structures on a three-dimensional sphere whose singular set consists of fibres of a Seifert fibration. We describe domains of existence of a spherical structure on these cone-manifolds in terms of cone angles, and obtain explicit analytic formulae for their volumes.
Bibliography: 18 titles.
Keywords: spherical geometry, cone-manifold, Seifert fibration.
Received: 07.02.2015 and 13.06.2016
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 12, Pages 73–89
DOI: https://doi.org/10.4213/sm8489
Bibliographic databases:
UDC: 514.135+515.162.8+515.16
MSC: 51M09, 57M25, 57M50
Language: English
Original paper language: Russian
Citation: A. A. Kolpakov, “Volume formulae for fibred cone-manifolds with spherical geometry”, Mat. Sb., 207:12 (2016), 73–89; Sb. Math., 207:12 (2016), 1693–1708
Citation in format AMSBIB
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    Abstract page:290
    Russian version PDF:40
    English version PDF:4
    References:46
    First page:18
     
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