Length of a closed geodesic in 3-manifolds of positive scalar curvature
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909569824849920 |
|---|---|
| author | Liokumovich, Yevgeny Maximo, Davi Rotman, Regina |
| author_facet | Liokumovich, Yevgeny Maximo, Davi Rotman, Regina |
| contents | Let $M$ be a closed $3$-dimensional Riemannian manifold with positive scalar curvature, $R_g \geq 6$. We show that $M$ contains a non-trivial closed geodesic of length less than $22500$. This confirms a conjecture of M. Gromov in dimension $3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05459 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Length of a closed geodesic in 3-manifolds of positive scalar curvature Liokumovich, Yevgeny Maximo, Davi Rotman, Regina Differential Geometry Geometric Topology Metric Geometry Let $M$ be a closed $3$-dimensional Riemannian manifold with positive scalar curvature, $R_g \geq 6$. We show that $M$ contains a non-trivial closed geodesic of length less than $22500$. This confirms a conjecture of M. Gromov in dimension $3$. |
| title | Length of a closed geodesic in 3-manifolds of positive scalar curvature |
| topic | Differential Geometry Geometric Topology Metric Geometry |
| url | https://arxiv.org/abs/2504.05459 |