On foliations of bounded mean curvature on closed three-dimensional Riemannian manifolds
The notion of systole of a foliation sys(ℱ) on an arbitrary foliated closed Riemannian manifold (M,ℱ) is introduced. A lower bound on sys(ℱ) of a bounded mean curvature foliation is given. As a corollary we prove that the number of Reeb components of a bounded mean curvature foliation on a closed or...
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Format: | Article |
Language: | English |
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Odesa National University of Technology
2023-08-01
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Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
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Online Access: | https://journals.ontu.edu.ua/index.php/geometry/article/view/2510 |