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Sbornik: Mathematics, 1996, Volume 187, Issue 6, Pages 823–833
DOI: https://doi.org/10.1070/SM1996v187n06ABEH000135 (Mi sm135) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Codimension one foliations of flat 3-manifolds

V. K. Mamaev

N. I. Lobachevski State University of Nizhni Novgorod
English version PDF (620 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM1996v187n06ABEH000135
Abstract: In this paper we study $C^r$ ($r\geqslant 2$) codimension one foliations of closed 3-manifolds. We describe all closed flat 3-manifolds that admit foliations without compact leaves, and all closed flat 3-manifolds on which every $C^r$ ($r\geqslant 2$) codimension one foliation has a compact leaf and this leaf is either a 2-torus or a Klein bottle.
Received: 13.10.1993 and 15.05.1995
Russian version:
Matematicheskii Sbornik, 1996, Volume 187, Number 6, Pages 41–52
DOI: https://doi.org/10.4213/sm135
Bibliographic databases:
UDC: 517.917+515.1
MSC: Primary 53C12; Secondary 53C21, 57M10, 57N10, 57R30
Language: English
Original paper language: Russian
Citation: V. K. Mamaev, “Codimension one foliations of flat 3-manifolds”, Mat. Sb., 187:6 (1996), 41–52; Sb. Math., 187:6 (1996), 823–833
Citation in format AMSBIB
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\by V.~K.~Mamaev
\paper Codimension one foliations of flat 3-manifolds
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\yr 1996
\vol 187
\issue 6
\pages 41--52
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\transl
\jour Sb. Math.
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\pages 823--833
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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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    English version PDF:18
    References:54
    First page:2
     
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