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Curvature collineation is a concept in differential geometry, specifically in the study of the symmetry properties of Riemannian and pseudo-Riemannian manifolds. It refers to a type of isometry that preserves the curvature properties of a manifold. ### Definition: A curvature collineation is a mapping (or transformation) between two Riemannian manifolds that maintains certain curvature tensors.

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