On the improved no-local-collapsing theorem of Ricci flow

Abstract

In this note we derive an improved no-local-collapsing theorem of Ricci flow under the scalar curvature bound condition along the worldline of the basepoint. It is a refinement of Perelman's no-local-collapsing theorem.

Comments welcome!

References in corpus (3)

• Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
• Collapsing behavior of Ricci-flat Kahler metrics and long time solutions of the Kahler-Ricci flow
• Diameter and Ricci curvature estimates for long-time solutions of the Kahler-Ricci flow