Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces
| Autor: | Pediconi, Francesco, Sbiti, Sammy |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove a general existence theorem for collapsed ancient solutions to the Ricci flow on compact homogeneous spaces and we show that they converge in the Gromov-Hausdorff topology, under a suitable rescaling, to an Einstein metric on the base of a torus fibration. This construction generalizes all previous known examples in the literature. Comment: 15 pages; Theorem A has been improved by removing the G-non-degeneracy hypothesis; Comments are welcome |
| Databáze: | arXiv |
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