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Manifolds with <i>k</i>-positive Ricci curvature

Manifolds with <i>k</i>-positive Ricci curvature

Let (M, g) be an n-dimensional Riemannian manifold. We say M has k-positive Ricci curvature if at each point p ∈ M the sum of the k smallest eigenvalues of the Ricci curvature at p is positive. We say that the k-positive Ricci curvature is bounded below by α if …