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

Zhang, Yuguang; Zhang, Zhenlei

doi:10.1090/S0002-9939-2011-11084-0

A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds
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by Yuguang Zhang and Zhenlei Zhang PDF

Proc. Amer. Math. Soc. 140 (2012), 1777-1783 Request permission

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.

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