Some aspects of Cheng-Yau gradient estimates
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918216351088640 |
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| author | Hu, Qixuan Yu, Chengjie |
| author_facet | Hu, Qixuan Yu, Chengjie |
| contents | In this note, we extend the rigidity of Cheng-Yau gradient estimate in \cite{HXY} to surfaces with lower Ricci curvature bound. Motivated by these sharp Cheng-Yau gradient estimates, pointwise Cheng-Yau gradient estimates for higher dimensional Riemannian manifolds are obtained, and as their applications, monotonicity formulas for positive harmonic functions are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19042 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some aspects of Cheng-Yau gradient estimates Hu, Qixuan Yu, Chengjie Differential Geometry Analysis of PDEs In this note, we extend the rigidity of Cheng-Yau gradient estimate in \cite{HXY} to surfaces with lower Ricci curvature bound. Motivated by these sharp Cheng-Yau gradient estimates, pointwise Cheng-Yau gradient estimates for higher dimensional Riemannian manifolds are obtained, and as their applications, monotonicity formulas for positive harmonic functions are obtained. |
| title | Some aspects of Cheng-Yau gradient estimates |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2511.19042 |