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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Odesa National University of Technology
2023-08-01
|
| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Subjects: | |
| Online Access: | https://journals.ontu.edu.ua/index.php/geometry/article/view/2510 |