On normal forms of gradient Ricci 4-solitons
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911586514370560 |
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| author | Aazami, Amir Babak |
| author_facet | Aazami, Amir Babak |
| contents | In this note we analyze the normal form of the operator $\hat{R} + \frac{1}{2}\hat{H}$ of a gradient Ricci 4-soliton in Cao & Tran. In particular, we show that the curvature operator $\hat{R}$ of the Koiso-Cao soliton inherits this normal form. By work of D. Johnson, this yields a normal form for the curvature operator of the Koiso-Cao soliton relative to the space of algebraic Kähler curvature operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03894 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On normal forms of gradient Ricci 4-solitons Aazami, Amir Babak Differential Geometry In this note we analyze the normal form of the operator $\hat{R} + \frac{1}{2}\hat{H}$ of a gradient Ricci 4-soliton in Cao & Tran. In particular, we show that the curvature operator $\hat{R}$ of the Koiso-Cao soliton inherits this normal form. By work of D. Johnson, this yields a normal form for the curvature operator of the Koiso-Cao soliton relative to the space of algebraic Kähler curvature operators. |
| title | On normal forms of gradient Ricci 4-solitons |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2604.03894 |