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This article is cited in 2 scientific papers (total in 2 papers)
Hyperfoliations on compact 3-manifolds with restrictions on the external curvature of leaves
D. V. Bolotov Kharkiv State University
Abstract:
$C^\infty$-foliations of codimension 1 on compact Riemannian 3-manifolds are studied. New classes of foliations, namely hyperbolic, elliptic, and parabolic foliations, are considered. Examples of such foliations are presented. In particular, a $C^\infty$-metric of nonnegative sectional curvature on $S^3$ such that the Reeb foliation is parabolic with respect to this metric is constructed. Analytic 3-manifolds with sectional curvature of constant sign admitting parabolic foliations are classified.
Received: 03.09.1996
Citation:
D. V. Bolotov, “Hyperfoliations on compact 3-manifolds with restrictions on the external curvature of leaves”, Mat. Zametki, 63:5 (1998), 651–659; Math. Notes, 63:5 (1998), 575–581
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https://www.mathnet.ru/eng/mzm1330https://doi.org/10.4213/mzm1330 https://www.mathnet.ru/eng/mzm/v63/i5/p651
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Abstract page: | 323 | Full-text PDF : | 174 | References: | 30 | First page: | 1 |
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