A non-Kähler expanding Ricci soliton with a Kähler tangent cone at infinity
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918409733668864 |
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| author | Bamler, Richard H. Chen, Eric Conlon, Ronan J. |
| author_facet | Bamler, Richard H. Chen, Eric Conlon, Ronan J. |
| contents | We construct an example of an asymptotically conical (AC) non-Kähler expanding gradient Ricci soliton that has a Kähler tangent cone at infinity. This yields an example of a Kähler cone that can be desingularised by a smooth AC expanding gradient Ricci soliton but not by a smooth AC expanding gradient Kähler--Ricci soliton. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25082 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A non-Kähler expanding Ricci soliton with a Kähler tangent cone at infinity Bamler, Richard H. Chen, Eric Conlon, Ronan J. Differential Geometry Analysis of PDEs 53E20, 53E30 We construct an example of an asymptotically conical (AC) non-Kähler expanding gradient Ricci soliton that has a Kähler tangent cone at infinity. This yields an example of a Kähler cone that can be desingularised by a smooth AC expanding gradient Ricci soliton but not by a smooth AC expanding gradient Kähler--Ricci soliton. |
| title | A non-Kähler expanding Ricci soliton with a Kähler tangent cone at infinity |
| topic | Differential Geometry Analysis of PDEs 53E20, 53E30 |
| url | https://arxiv.org/abs/2603.25082 |