A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds

Abstract

In this short paper, we prove a Hitchin-Thorpe type inequality for closed 4-manifolds with non-positive Yamabe invariant, and admitting long time solutions of the normalized Ricci flow equation with bounded scalar curvature.

References in corpus (2)

• Monopole classes and Perelman's invariant of four-manifolds
• Non-singular solutions of normalized Ricci flow on noncompact manifolds of finite volume