If (Nm+p,h)(Nm+p,h) is a Cartan-Hadamard manifold such that $Ric(h)\geq -G(r_{N}(x))wherewhereG(0)\geq 1, G^{'}\geq 0andandG^{-1/2}\not\in L^{1}(+\infty)theneveryproperbiharmonicisometricimmersiontheneveryproperbiharmonicisometricimmersion\phi : M^{m}\rightarrow(N^{m+p},h)$ is a harmonic map.
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