Smooth long-time existence of Harmonic Ricci Flow on surfaces
We prove that at a finite singular time for the Harmonic Ricci Flow on a surface of positive genus both the energy density of the map component and the curvature of the domain manifold have to blow up simultaneously. As an immediate consequence, we obtain smooth long-time existence for the Harmonic...
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| Format: | Journal article |
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London Mathematical Society
2016
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| _version_ | 1797061981403873280 |
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| author | Buzano, R Rupflin, M |
| author_facet | Buzano, R Rupflin, M |
| author_sort | Buzano, R |
| collection | OXFORD |
| description | We prove that at a finite singular time for the Harmonic Ricci Flow on a surface of positive genus both the energy density of the map component and the curvature of the domain manifold have to blow up simultaneously. As an immediate consequence, we obtain smooth long-time existence for the Harmonic Ricci Flow with large coupling constant. |
| first_indexed | 2024-03-06T20:38:59Z |
| format | Journal article |
| id | oxford-uuid:339cad41-20ff-4b68-b0e3-313cfcd18145 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:38:59Z |
| publishDate | 2016 |
| publisher | London Mathematical Society |
| record_format | dspace |
| spelling | oxford-uuid:339cad41-20ff-4b68-b0e3-313cfcd181452022-03-26T13:21:13ZSmooth long-time existence of Harmonic Ricci Flow on surfacesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:339cad41-20ff-4b68-b0e3-313cfcd18145Symplectic Elements at OxfordLondon Mathematical Society2016Buzano, RRupflin, MWe prove that at a finite singular time for the Harmonic Ricci Flow on a surface of positive genus both the energy density of the map component and the curvature of the domain manifold have to blow up simultaneously. As an immediate consequence, we obtain smooth long-time existence for the Harmonic Ricci Flow with large coupling constant. |
| spellingShingle | Buzano, R Rupflin, M Smooth long-time existence of Harmonic Ricci Flow on surfaces |
| title | Smooth long-time existence of Harmonic Ricci Flow on surfaces |
| title_full | Smooth long-time existence of Harmonic Ricci Flow on surfaces |
| title_fullStr | Smooth long-time existence of Harmonic Ricci Flow on surfaces |
| title_full_unstemmed | Smooth long-time existence of Harmonic Ricci Flow on surfaces |
| title_short | Smooth long-time existence of Harmonic Ricci Flow on surfaces |
| title_sort | smooth long time existence of harmonic ricci flow on surfaces |
| work_keys_str_mv | AT buzanor smoothlongtimeexistenceofharmonicricciflowonsurfaces AT rupflinm smoothlongtimeexistenceofharmonicricciflowonsurfaces |