Dual Thurston norm of Euler classes of foliations on negative curvature 3-Manifolds
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911020219367424 |
|---|---|
| author | Bolotov, Dmitry V. |
| author_facet | Bolotov, Dmitry V. |
| contents | In this paper we give an upper bound estimate on the dual Thurston norm of the Euler class of an arbitrary smooth foliation $\mathcal{F}$ of dimension one defined on a closed three-dimensional orientable manifold $M^3$ of negative curvature, which depends on the constants bounded the injectivity radius $inj(M^3)$, the volume $Vol(M^3)$, sectional curvature of the manifold $M^3$ and the mean curvature modulus of the leaves of the foliation $\mathcal{F}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19098 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dual Thurston norm of Euler classes of foliations on negative curvature 3-Manifolds Bolotov, Dmitry V. Geometric Topology Differential Geometry In this paper we give an upper bound estimate on the dual Thurston norm of the Euler class of an arbitrary smooth foliation $\mathcal{F}$ of dimension one defined on a closed three-dimensional orientable manifold $M^3$ of negative curvature, which depends on the constants bounded the injectivity radius $inj(M^3)$, the volume $Vol(M^3)$, sectional curvature of the manifold $M^3$ and the mean curvature modulus of the leaves of the foliation $\mathcal{F}$. |
| title | Dual Thurston norm of Euler classes of foliations on negative curvature 3-Manifolds |
| topic | Geometric Topology Differential Geometry |
| url | https://arxiv.org/abs/2506.19098 |