|
|||||
|
|
Rigidity of surfaces whose geodesic flows preserve smooth foliations of codimension 1 |
|
| Authors: | José Barbosa Gomes Rafael O. Ruggiero |
| Affiliation: | Departamento de Matemática, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, Brazil, 36036-330 ; Departamento de Matemática, Pontifícia Universidade Católica do Rio de Janeiro, Rio de Janeiro, RJ, Brazil, 22453-900 |
| Abstract: | Let  be a closed orientable surface. Assume that there exists a codimension one foliation  of class  in the unit tangent bundle of  , whose leaves are invariant under the geodesic flow of  . Then, the curvature of  is a nonpositive constant. |
| Keywords: | Godbillon-Vey number geodesic flow rigidity Anosov flow |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |