| 一类完备Riemann流形上的有界调和函数 |
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| 引用本文： | 王晓辉. 一类完备Riemann流形上的有界调和函数[J]. 数学学报, 1995, 38(2): 171-181. DOI: cnki:ISSN:05831431.0.1995-02-003 |
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| 作者姓名： | 王晓辉 |
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| 作者单位： | 清华大学应用数学系 |
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| 摘 要： | 本文我们将对一类完备Ｒｉｅｍａｎｎ流形上的有界调和函数所组成的线性空间的维数的上界进行估计，同时给出了一个关于测地球体积的Ｂｉｓｈｏｐ－Ｇｒｏｍｏｖ型体积比较定理。
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| 关 键 词： | Riemann流形，Ricci曲率，调和函数 |
| 收稿时间： | 1992-10-30 |
Bounded Harmonic Functions on a Class of Complete Riemannian Manifolds |
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| wang Xiaohui. Bounded Harmonic Functions on a Class of Complete Riemannian Manifolds[J]. Acta Mathematica Sinica, 1995, 38(2): 171-181. DOI: cnki:ISSN:05831431.0.1995-02-003 |
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| Authors: | wang Xiaohui |
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| Affiliation: | wang Xiaohui(Department of Applied Mathematics,Tsinghua University,Beijing 100084,China) |
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| Abstract: | In this paper,we consider the dimension of the space of bounded harmonic functionson a class of Riemannian manifolds. An upper bound of the dimension is obtained. In themeanwhile, a volume comparison theorem of Bishop-Gromov type on the geodesic balls is alsogiven on such kinds of manifolds |
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| Keywords: | Riemannian manifolds Ricci curvature Harmonic function |
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