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math.DG2012
Riemannian Submersions Need Not Preserve Positive Ricci Curvature
Curtis Pro, Frederick Wilhelm
If is a Riemannian Submersion and has positive sectional curvature, O'Neill's Horizontal Curvature Equation shows that must also have positive curvature.…
math.DG2012
The Diffeomorphism Type of Manifolds with Almost Maximal Volume
Curtis Pro, Michael Sill, Frederick Wilhelm
The smallest so that a metric -ball covers a metric space is called the radius of . The volume of a metric -ball in the space form of constant curvature is an…