Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620945 | Journal of Mathematical Analysis and Applications | 2008 | 7 Pages |
Abstract
Let M be a complete Riemannian manifold and let N be a Riemannian manifold of non-positive sectional curvature. Assume that at all x∈M and at some point x0∈M, where μ0>0 is the least eigenvalue of the Laplacian acting on L2-functions on M. Let 2⩽q⩽p. Then any q-harmonic map of finite q-energy is constant. Moreover, if N is a Riemannian manifold of non-positive scalar curvature, then any q-harmonic morphism of finite q-energy is constant.
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