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| ASYMPTOTIC BEHAVIOR OF HARMONIC MAPS FROM COMPLETEMANIFOLDS |
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Citation： |
CHEN Qun.ASYMPTOTIC BEHAVIOR OF HARMONIC MAPS FROM COMPLETEMANIFOLDS[J].Chinese Annals of Mathematics B,1999,20(2):247~254 |
| Page view： 1022
Net amount： 733 |
Authors： |
CHEN Qun; |
Foundation： |
the National Natural Science
Foundation of China, the Science Foundation of the Ministry of Education of China and the Natural Science Foundation of Central China Normal University |
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| Abstract： |
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. |
Keywords： |
Ricci curvature, Volume comparison, Fatou's property, Harmonic map |
Classification： |
58E20, 53C20 |
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