Remarks on mean curvature flow solitons in warped products
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2018
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917566548541440 |
|---|---|
| author | Colombo, Giulio Mari, Luciano Rigoli, Marco |
| author_facet | Colombo, Giulio Mari, Luciano Rigoli, Marco |
| contents | We study some properties of mean curvature flow solitons in general Riemannian manifolds and in warped products, with emphasis on constant curvature and Schwarzschild type spaces. We focus on splitting and rigidity results under various geometric conditions, ranging from the stability of the soliton to the fact that the image of its Gauss map be contained in suitable regions of the sphere. We also investigate the case of entire graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_10968 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Remarks on mean curvature flow solitons in warped products Colombo, Giulio Mari, Luciano Rigoli, Marco Differential Geometry 53C44, 53C42, 53C40, 35B50, 35B06 We study some properties of mean curvature flow solitons in general Riemannian manifolds and in warped products, with emphasis on constant curvature and Schwarzschild type spaces. We focus on splitting and rigidity results under various geometric conditions, ranging from the stability of the soliton to the fact that the image of its Gauss map be contained in suitable regions of the sphere. We also investigate the case of entire graphs. |
| title | Remarks on mean curvature flow solitons in warped products |
| topic | Differential Geometry 53C44, 53C42, 53C40, 35B50, 35B06 |
| url | https://arxiv.org/abs/1811.10968 |