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.
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Received: Received: 10 July 1997
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Chen, Q. Liouville theorem for harmonic maps with potential . manuscripta math. 95, 507–517 (1998). https://doi.org/10.1007/s002290050044
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DOI: https://doi.org/10.1007/s002290050044