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A locally symmetric manifold is a manifold with parallel curvature tensor $\nabla R=0$.

Can you give an example except spheres, projective spaces and hyperbolic spaces?

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  • $\begingroup$ Grassmanians?${}{}$ $\endgroup$ – user99914 May 23 '15 at 6:57
  • $\begingroup$ I need an example that showes DR=0 with calculations. $\endgroup$ – par432 May 23 '15 at 19:07

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