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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.04684 |
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| _version_ | 1866912146604949504 |
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| author | Chen, Qun Qiu, Hongbing |
| author_facet | Chen, Qun Qiu, Hongbing |
| contents | When the domain is a complete noncompact Riemannian manifold with nonnegative Bakry--Emery Ricci curvature and the target is a complete Riemannian manifold with sectional curvature bounded above by a positive constant, by carrying out refined gradient estimates, we obtain a better Liouville theorem for ancient solutions to the V-harmonic map heat flows. Furthermore, we can also derive a Liouville theorem for quasi-harmonic maps under an exponential growth condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04684 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Liouville theorems for ancient solutions to the V-harmonic map heat flows II Chen, Qun Qiu, Hongbing Differential Geometry When the domain is a complete noncompact Riemannian manifold with nonnegative Bakry--Emery Ricci curvature and the target is a complete Riemannian manifold with sectional curvature bounded above by a positive constant, by carrying out refined gradient estimates, we obtain a better Liouville theorem for ancient solutions to the V-harmonic map heat flows. Furthermore, we can also derive a Liouville theorem for quasi-harmonic maps under an exponential growth condition. |
| title | Liouville theorems for ancient solutions to the V-harmonic map heat flows II |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2412.04684 |