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Lower bounds on Ricci flow invariant curvatures and geometric applications

Lower bounds on Ricci flow invariant curvatures and geometric applications

Abstract We consider Ricci flow invariant cones š’ž in the space of curvature operators lying between the cones ā€œnonnegative Ricci curvatureā€ and ā€œnonnegative curvature operatorā€. Assuming some mild control on the scalar curvature of the Ricci flow, we show that if a solution to the Ricci flow has its curvature ā€¦