The Stability of Generalized Ricci Solitons
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917195176476672 |
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| author | Lee, Kuan-Hui |
| author_facet | Lee, Kuan-Hui |
| contents | In this paper, I computed the second variation formula of the generalized Einstein-Hilbert functional and prove that a Bismut-flat, Einstein manifold is linearly stable under some curvature assumption. In the last part of the paper, I prove that dynamical stability and linear stability are equivalent on a steady gradient generalized Ricci soliton $(g, H,f)$ which generalizes the result done by Kröncke, Haslhofer, Sesum, Raffero, and Vezzoni. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_02264 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Stability of Generalized Ricci Solitons Lee, Kuan-Hui Differential Geometry In this paper, I computed the second variation formula of the generalized Einstein-Hilbert functional and prove that a Bismut-flat, Einstein manifold is linearly stable under some curvature assumption. In the last part of the paper, I prove that dynamical stability and linear stability are equivalent on a steady gradient generalized Ricci soliton $(g, H,f)$ which generalizes the result done by Kröncke, Haslhofer, Sesum, Raffero, and Vezzoni. |
| title | The Stability of Generalized Ricci Solitons |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2201.02264 |