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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-05-28 and was most recently seen on 2026-05-28.
In the mathematical field of differential geometry, a Codazzi tensor is a symmetric 2-tensor whose covariant derivative is also symmetric. Such tensors arise naturally in the study of Riemannian manifolds with harmonic curvature or harmonic Weyl tensor. In fact, existence of Codazzi tensors impose strict conditions on the curvature tensor of the manifold. Also, the second fundamental form of an immersed hypersurface in a space form is a Codazzi tensor.
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