Dynamical stability of Pluriclosed and Generalized Ricci solitons
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915247468576768 |
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| author | Lee, Kuan-Hui |
| author_facet | Lee, Kuan-Hui |
| contents | In this work, we discuss the stability of the pluriclosed flow and generalized Ricci flow. We proved that if the second variation of generalized Einstein--Hilbert functional is nonpositive and the infinitesimal deformations are integrable, the flow is dynamically stable. Moreover, we prove that the pluriclosed steady solitons are dynamically stable when the first Chern class vanishes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12525 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical stability of Pluriclosed and Generalized Ricci solitons Lee, Kuan-Hui Differential Geometry In this work, we discuss the stability of the pluriclosed flow and generalized Ricci flow. We proved that if the second variation of generalized Einstein--Hilbert functional is nonpositive and the infinitesimal deformations are integrable, the flow is dynamically stable. Moreover, we prove that the pluriclosed steady solitons are dynamically stable when the first Chern class vanishes. |
| title | Dynamical stability of Pluriclosed and Generalized Ricci solitons |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2504.12525 |