New type I ancient compact solutions of the Yamabe flow
We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as t→−∞, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions. They are type I ancient solutions.
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
International Press
2017
|
| Online Access: | https://eprints.nottingham.ac.uk/50288/ |
| _version_ | 1848798210222456832 |
|---|---|
| author | Daskalopoulos, Panagiota del Pino, Manuel King, John Sesum, Natasa |
| author_facet | Daskalopoulos, Panagiota del Pino, Manuel King, John Sesum, Natasa |
| author_sort | Daskalopoulos, Panagiota |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as t→−∞, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions. They are type I ancient solutions. |
| first_indexed | 2025-11-14T20:16:09Z |
| format | Article |
| id | nottingham-50288 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:16:09Z |
| publishDate | 2017 |
| publisher | International Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-502882020-05-04T19:19:47Z https://eprints.nottingham.ac.uk/50288/ New type I ancient compact solutions of the Yamabe flow Daskalopoulos, Panagiota del Pino, Manuel King, John Sesum, Natasa We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as t→−∞, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions. They are type I ancient solutions. International Press 2017-11-30 Article PeerReviewed Daskalopoulos, Panagiota, del Pino, Manuel, King, John and Sesum, Natasa (2017) New type I ancient compact solutions of the Yamabe flow. Mathematical Research Letters, 24 (6). pp. 1667-1691. ISSN 1945-001X http://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0024/0006/a005/ doi:10.4310/MRL.2017.v24.n6.a5 doi:10.4310/MRL.2017.v24.n6.a5 |
| spellingShingle | Daskalopoulos, Panagiota del Pino, Manuel King, John Sesum, Natasa New type I ancient compact solutions of the Yamabe flow |
| title | New type I ancient compact solutions of the Yamabe flow |
| title_full | New type I ancient compact solutions of the Yamabe flow |
| title_fullStr | New type I ancient compact solutions of the Yamabe flow |
| title_full_unstemmed | New type I ancient compact solutions of the Yamabe flow |
| title_short | New type I ancient compact solutions of the Yamabe flow |
| title_sort | new type i ancient compact solutions of the yamabe flow |
| url | https://eprints.nottingham.ac.uk/50288/ https://eprints.nottingham.ac.uk/50288/ https://eprints.nottingham.ac.uk/50288/ |