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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2009 Volume 200, Number 3, Pages 3–16 (Mi sm4508)

This article is cited in 3 papers

Foliations of nonnegative curvature on closed 3-dimensional manifolds

D. V. Bolotovab

a V. N. Karazin Kharkiv National University
b B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine

Abstract: The structure of foliations of nonnegative curvature on closed 3-dimensional manifolds is described. A classification of closed orientable three-dimensional manifolds admitting a transversely orientable nonnegatively curved foliation is presented.
Bibliography: 12 titles.

Keywords: foliation, curvature, three-dimensional manifold.

UDC: 515.168.3

MSC: Primary 53C12; Secondary 53C21

Received: 16.01.2008 and 01.12.2008

DOI: 10.4213/sm4508


 English version:
Sbornik: Mathematics, 2009, 200:3, 313–324

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© Steklov Math. Inst. of RAS, 2026