Real analyticity of the modified Laplacian coflow
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914946143485952 |
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| author | Li, Chuanhuan Li, Yi |
| author_facet | Li, Chuanhuan Li, Yi |
| contents | Let (M,ψ(t))_{t\in[0, T]} be a solution of the modified Laplacian coflow (1.3) with coclosed G_{2}-structures on a compact 7-dimensional M. We improve Chen's Shi-type estimate [5] for this flow, and then show that (M,ψ(t),g_ψ(t)) is real analytic, where g_ψ(t) is the associate Riemannian metric to ψ(t), which answers a question proposed by Grigorian in [13]. Consequently, we obtain the unique-continuation results for this flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06283 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Real analyticity of the modified Laplacian coflow Li, Chuanhuan Li, Yi Differential Geometry Let (M,ψ(t))_{t\in[0, T]} be a solution of the modified Laplacian coflow (1.3) with coclosed G_{2}-structures on a compact 7-dimensional M. We improve Chen's Shi-type estimate [5] for this flow, and then show that (M,ψ(t),g_ψ(t)) is real analytic, where g_ψ(t) is the associate Riemannian metric to ψ(t), which answers a question proposed by Grigorian in [13]. Consequently, we obtain the unique-continuation results for this flow. |
| title | Real analyticity of the modified Laplacian coflow |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2409.06283 |