High Quality Content by WIKIPEDIA articles! In differential geometry, a quaternion-Kahler symmetric space or Wolf space is a quaternion-Kahler manifold which, as a Riemannian manifold, is a Riemannian symmetric space. Any quaternion-Kahler symmetric space with positive Ricci curvature is compact and simply connected, and is a Riemannian product of quaternion-Kahler symmetric spaces associated to compact simple Lie groups. For any compact simple Lie group G, there is a unique G/H obtained as a quotient of G by a subgroup.

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