| CHEN Qun.[J].数学年刊A辑,1999,20(2):247~254 |
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| ASYMPTOTIC BEHAVIOR OF HARMONIC MAPS FROM COMPLETEMANIFOLDS |
| Received:December 27, 1996 Revised:December 29, 1997 |
| DOI： |
| 中文关键词: |
| 英文关键词:Ricci curvature, Volume comparison, Fatou's property, Harmonic map |
| 基金项目: |
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| 中文摘要: |
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| 英文摘要: |
| In this paper, the author considers a class of complete noncompact Riemannian manifolds which satisfy certain conditions on Ricci curvature and volume comparison. It is shown that any harmonic map with finite energy from such a manifold $M$ into a normal geodesic ball in another
manifold $N$ must be asymptotically constant at the infinity of each large end of $M$. A related existence theorem for harmonic maps is established. |
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