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The Riemann curvature tensor is a fundamental object in differential geometry and mathematical physics that measures the intrinsic curvature of a Riemannian manifold. It provides a way to describe how the geometry of a manifold is affected by its curvature. Specifically, it captures how much the geometry deviates from being flat, which corresponds to the geometry of Euclidean space.

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  1. Differential geometry
  2. Mathematical physics
  3. Applied mathematics
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