Nonpositive curvature foliations on 3-manifolds with bounded total absolute curvature of leaves
| dc.contributor.author | Dmytry Bolotov | |
| dc.date.accessioned | 2019-05-07T13:57:11Z | |
| dc.date.available | 2019-05-07T13:57:11Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | In this paper we introduce a new class of foliations on Rie-mannian 3-manifolds, called B-foliations, generalizing the class of foliations of non-negative curvature. The leaves of B-foliations have bounded total absolute curvature in the induced Riemannian metric. We describe several topological and geometric properties of B-foliations and the structure of closed oriented 3-dimensional manifolds admitting B-foliations with non-positive curvature of leaves. | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/8164 | |
| dc.identifier.uri | https://doi.org/10.15673/tmgc.v11i4.1307 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | Nonpositive curvature foliations on 3-manifolds with bounded total absolute curvature of leaves |