Expanding Ricci solitons coming out of weakly PIC1 metric cones
| Autor: | Chan, Pak-Yeung, Lee, Man-Chun, Peachey, Luke T. |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | Motivated by recent work of Deruelle-Schulze-Simon, we study complete weakly PIC1 Ricci flows with Euclidean volume growth coming out of metric cones. We show that such a Ricci flow must be an expanding gradient Ricci soliton, and as a consequence, any metric cone at infinity of a complete weakly PIC1 K\"ahler manifold with Euclidean volume growth is biholomorphic to complex Euclidean space in a canonical way. Comment: 21 pages, minor changes, all comments are welcome |
| Databáze: | arXiv |
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