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| HARMONIC FUNCTIONS ON A COMPLETE NONCOMPACT MANIFOLD WITH ASYMPTOTICALLY NONNEGATIVE CURVATURE |
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Citation： |
ZHOU Chaohui,CHEN Zhihua.HARMONIC FUNCTIONS ON A COMPLETE NONCOMPACT MANIFOLD WITH ASYMPTOTICALLY NONNEGATIVE CURVATURE[J].Chinese Annals of Mathematics B,2004,25(4):523~532 |
| Page view： 1088
Net amount： 899 |
Authors： |
ZHOU Chaohui; CHEN Zhihua |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10271089). |
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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. |
Keywords： |
Harmonic function, Asymptotically nonnegative curvature, Polynomial
growth |
Classification： |
53C20 |
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