Non-existence for Harmonic Maps on Complete Noncompact Manifolds

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Abstract

In this paper, we prove a nonexistence theorem on harmonic maps. This generalizes the well-known Liouville-type theorem on harmonic maps due to S.Y. Cheng and H.I Choi.

Keywords:

Asymptotically nonnegative curvature;harmonic map: convex ball non-existence
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Non-existence for Harmonic Maps on Complete Noncompact Manifolds. (1999). Journal of Partial Differential Equations, 12(3), 281-288. https://www.global-sci.com/index.php/jpde/article/view/3918