# Example of locally symmetric spaces

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?

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