| HARMONIC FUNCTIONS ON A COMPLETE NONCOMPACT MANIFOLD WITH ASYMPTOTICALLY NONNEGATIVE CURVATURE |
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| 引用本文： | ZHOU Chaohui,CHEN Zhihua. HARMONIC FUNCTIONS ON A COMPLETE NONCOMPACT MANIFOLD WITH ASYMPTOTICALLY NONNEGATIVE CURVATURE[J]. 数学年刊B辑(英文版), 2004, 25(4): 523-532 |
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| 作者姓名： | ZHOU Chaohui CHEN Zhihua |
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| 作者单位： | ZHOU CHAOHUI CHEN ZHIHUA Department of Applied Mathematics，Tongji University，Shanghai 200092，China. Department of Applied Mathematics，Tongji University，Shanghai 200092，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No.10271089). |
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| 摘 要： | The authors prove the space of harmonic functions with polynomial growth of a fixed rate on a complete noncompact Riemannian manifold with asymptotically nonnegative curvature is finite dimensional.
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| 关 键 词： | 谐函数 渐近线 正曲率 多项式级数 黎曼流形 |
| 收稿时间： | 2027-09-03 |
HARMONIC FUNCTIONS ON A COMPLETE NONCOMPACT MANIFOLD WITH ASYMPTOTICALLY NONNEGATIVE CURVATURE |
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| ZHOU Chaohui and CHEN Zhihua. HARMONIC FUNCTIONS ON A COMPLETE NONCOMPACT MANIFOLD WITH ASYMPTOTICALLY NONNEGATIVE CURVATURE[J]. Chinese Annals of Mathematics,Series B, 2004, 25(4): 523-532 |
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| Authors: | ZHOU Chaohui and CHEN Zhihua |
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| Affiliation: | Department of Applied Mathematics, Tongji University, Shanghai 200092, China |
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| Abstract: | The authors prove the space of harmonic functions with polynomial growth of a fixed rate on a complete noncompact Riemannian manifold with asymptotically nonnegative curvature is finite dimensional. |
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| Keywords: | Harmonic function Asymptotically nonnegative curvature Polynomial growth |
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