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- W2800551503 abstract "We prove a Liouville-type theorem for biharmonic maps from a complete Riemannian manifold of dimension (n) that has a lower bound on its Ricci curvature and positive injectivity radius into a Riemannian manifold whose sectional curvature is bounded from above. Under these geometric assumptions we show that if the $L^p$-norm of the tension field is bounded and the $n$-energy of the map is sufficiently small then every biharmonic map must be harmonic, where (2<p<n)." @default.
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- W2800551503 date "2018-05-09" @default.
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- W2800551503 title "A Liouville-type theorem for biharmonic maps between complete Riemannian manifolds with small energies" @default.
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- W2800551503 doi "https://doi.org/10.1007/s00013-018-1189-6" @default.
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