Structure of foliations on 2-manifolds. (English) Zbl 0908.57007
Qualitative properties of foliations with finitely many singularities on closed 2-manifolds are studied. The author is interested in the following questions: 1) describe the foliation near a leaf; 2) establish a structure theorem on codimension one regular foliations on closed manifolds.
The results given for these foliations are known for foliations with singularities saddles and/or thorns.
The results given for these foliations are known for foliations with singularities saddles and/or thorns.
Reviewer: Gh.Pitiş (Braşov)
MSC:
| 57R30 | Foliations in differential topology; geometric theory |
| 37C85 | Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\) |
