Backward propagation of warped product structures and asymptotically conical shrinkers
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911744802160640 |
|---|---|
| author | Kotschwar, Brett |
| author_facet | Kotschwar, Brett |
| contents | We establish sufficient conditions which ensure that a locally-warped product structure propagates backward in time under the Ricci flow. As an application, we prove that if an asymptotically conical gradient shrinking soliton is asymptotic to a cone whose cross-section is a product of Einstein manifolds, the soliton must itself be a multiply-warped product over the same manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00606 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Backward propagation of warped product structures and asymptotically conical shrinkers Kotschwar, Brett Differential Geometry 53E20 We establish sufficient conditions which ensure that a locally-warped product structure propagates backward in time under the Ricci flow. As an application, we prove that if an asymptotically conical gradient shrinking soliton is asymptotic to a cone whose cross-section is a product of Einstein manifolds, the soliton must itself be a multiply-warped product over the same manifolds. |
| title | Backward propagation of warped product structures and asymptotically conical shrinkers |
| topic | Differential Geometry 53E20 |
| url | https://arxiv.org/abs/2401.00606 |