Positive Intermediate Ricci Curvature on Fibre Bundles
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912199979565056 |
|---|---|
| author | Reiser, Philipp Wraith, David J. |
| author_facet | Reiser, Philipp Wraith, David J. |
| contents | We prove a canonical variation-type result for submersion metrics with positive intermediate Ricci curvatures. This can then be used in conjunction with surgery techniques to establish the existence of metrics with positive intermediate Ricci curvatures on a wide range of examples which had previously only been known to admit positive Ricci curvature, such as highly connected manifolds and exotic spheres. Further, we extend results of the second author on the moduli space of metrics with positive Ricci curvature to positive intermediate Ricci curvatures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_14610 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Positive Intermediate Ricci Curvature on Fibre Bundles Reiser, Philipp Wraith, David J. Differential Geometry 53C20 We prove a canonical variation-type result for submersion metrics with positive intermediate Ricci curvatures. This can then be used in conjunction with surgery techniques to establish the existence of metrics with positive intermediate Ricci curvatures on a wide range of examples which had previously only been known to admit positive Ricci curvature, such as highly connected manifolds and exotic spheres. Further, we extend results of the second author on the moduli space of metrics with positive Ricci curvature to positive intermediate Ricci curvatures. |
| title | Positive Intermediate Ricci Curvature on Fibre Bundles |
| topic | Differential Geometry 53C20 |
| url | https://arxiv.org/abs/2211.14610 |