Three circles theorems and Liouville type theorems
| Autor: | Jian, Run-Qiang, Zhang, Zhu-Hong |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We establish three circles theorems for subharmonic functions on Riemannian manifolds with nonnegative Ricci curvature, as well as on gradient shrinking Ricci solitons with scalar curvature bounded from below by $\frac{n-2}{2}$. We also establish a three circiles theorem for holomorphic functions on gradient shrinking K\"{a}hler-Ricci solitons with some curvature conditions. As applications, we prove some Liouville type theorems. Comment: 14 pages |
| Databáze: | arXiv |
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