Liouville theorem for harmonic maps with potential |
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Authors: | Qun Chen |
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Institution: | Institute of Mathematics, Fudan University, Shanghai 200433, China.?Mathematics Department, Central China Normal University, Wuhan, Hubei 430079, China, CN
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Abstract: | Let M, N be complete manifolds, u:M→N be a harmonic map with potential H, namely, a critical point of the functional , where e(u) is the energy density of u. We will give a Liouville theorem for u with a class of potentials H's.
Received: Received: 10 July 1997 |
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Keywords: | Mathematics Subject Classification (1991): 58E20 53C21 58G30 |
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