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

Yuguang Zhang; Zhenlei Zhang

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

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arxiv 0903.2539 v4 pith:UBAYP7JU submitted 2009-03-14 math.DG

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

Yuguang Zhang , Zhenlei Zhang This is my paper

classification math.DG

keywords flowhitchin-thorpeinequalitymanifoldsricciadmittingboundedclosed

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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.

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

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