ASYMPTOTIC BEHAVIOR OF HARMONIC MAPS FROM COMPLETE
MANIFOLDS |
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Authors: | CHEN Qun |
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Institution: | DepartmentofMatmematics,CentralChinaNormalUniversity,Vquhan430@79,China |
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Abstract: | In this paper,the author considers a class of complete noncompact Riemannian manifoldswhich satisfy certain conditions on Ricci curvature and volume comparison. It is shown thatany harmonic map with finite energy from such a manifold M into a normal geodesic ball inanother manifold N must be asymptotically constant at the infinity of each large end of M. Arelated existence theorem for harmonic maps is established. |
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Keywords: | Ricci curvature VOlume comparison Fatou's property Harmonic map |
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