Complete Ricci solitons via estimates on the soliton potential
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866910629489541120 |
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| author | Wink, Matthias |
| author_facet | Wink, Matthias |
| contents | In this paper a growth estimate on the soliton potential is shown for a large class of cohomogeneity one manifolds. This is used to construct continuous families of complete steady and expanding Ricci solitons in the set-ups of Lü-Page-Pope and Dancer-Wang. It also provides a different approach to the two summands system which applies to all known geometric examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1710_11108 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Complete Ricci solitons via estimates on the soliton potential Wink, Matthias Differential Geometry 53C25, 53C44 (Primary), 53C30 (Secondary) In this paper a growth estimate on the soliton potential is shown for a large class of cohomogeneity one manifolds. This is used to construct continuous families of complete steady and expanding Ricci solitons in the set-ups of Lü-Page-Pope and Dancer-Wang. It also provides a different approach to the two summands system which applies to all known geometric examples. |
| title | Complete Ricci solitons via estimates on the soliton potential |
| topic | Differential Geometry 53C25, 53C44 (Primary), 53C30 (Secondary) |
| url | https://arxiv.org/abs/1710.11108 |