2 papers
math.DG2014
Sagitta, Lenses, and Maximal Volume
Curtis Pro
We give a characterization of critical points that allows us to define a metric invariant on all Riemannian manifolds with a lower sectional curvature bound and an upper radius…
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.…