High Quality Content by WIKIPEDIA articles! In mathematics — specifically, differential geometry — the Bochner identity is an identity concerning harmonic maps between Riemannian manifolds. The identity is named after the American mathematician Salomon Bochner.Let M and N be Riemannian manifolds and let u : M ? N be a harmonic map. Let d denote the exterior derivative, ? the gradient, ? the Laplace-Beltrami operator, RiemN the Riemann curvature tensor on N and RicM the Ricci curvature tensor on M.

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