Liouville theorem for $V$-harmonic heat flows
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913595712864256 |
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| author | Luo, Han Yu, Weike Zhang, Xi |
| author_facet | Luo, Han Yu, Weike Zhang, Xi |
| contents | In this paper, we investigate $V$-harmonic heat flows from complete Riemannian manifolds with nonnegative Bakry-Emery Ricci curvature to complete Riemannian manifolds with sectional curvature bounded above. We give a gradient estimate of ancient solutions to this flow and establish a Liouville type theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02305 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Liouville theorem for $V$-harmonic heat flows Luo, Han Yu, Weike Zhang, Xi Differential Geometry In this paper, we investigate $V$-harmonic heat flows from complete Riemannian manifolds with nonnegative Bakry-Emery Ricci curvature to complete Riemannian manifolds with sectional curvature bounded above. We give a gradient estimate of ancient solutions to this flow and establish a Liouville type theorem. |
| title | Liouville theorem for $V$-harmonic heat flows |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2412.02305 |