Title:
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Three-dimensional conformally flat pseudo-symmetric spaces of constant type (English) |
Author:
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Hashimoto, Norio |
Author:
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Sekizawa, Masami |
Language:
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English |
Journal:
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Archivum Mathematicum |
ISSN:
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0044-8753 (print) |
ISSN:
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1212-5059 (online) |
Volume:
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36 |
Issue:
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4 |
Year:
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2000 |
Pages:
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279-286 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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An explicit classification of the spaces in the title is given. The resulting spaces are locally products or locally warped products of the real line and two-dimensional spaces of constant curvature. (English) |
Keyword:
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Riemannian manifold |
Keyword:
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conformally flat space |
Keyword:
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pseudo-symmetric space |
Keyword:
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warped product |
MSC:
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53C20 |
MSC:
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53C21 |
MSC:
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53C35 |
idZBL:
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Zbl 1054.53060 |
idMR:
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MR1811172 |
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Date available:
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2008-06-06T22:26:16Z |
Last updated:
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2012-05-10 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/107742 |
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Reference:
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Reference:
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Reference:
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Reference:
|
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Reference:
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Reference:
|
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Reference:
|
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Reference:
|
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Reference:
|
[9] Kowalski O., Sekizawa M.: Riemannian 3-manifolds with $c$-conullity two.Bollenttino, U.M.I., (7)11-B (1997), Suppl. face. 2, 161–184. Zbl 0879.53034, MR 1456259 |
Reference:
|
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Reference:
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[11] Kowalski O., Sekizawa M.: Pseudo-symmetric spaces of constant type in dimension three-non-elliptic spaces.Bull. Tokyo Gakugei University Sect.IV. 50(1998), 1–28. Zbl 0945.53020, MR 1656076 |
Reference:
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[12] Kowalski O., Sekizawa M.: Pseudo-symmetric Spaces of Constant Type in Dimension Three.Personal Note, Charles University-Tokyo Gakugei University, Prague-Tokyo, 1998. Zbl 0945.53020 |
Reference:
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Reference:
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Reference:
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