A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds
A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds
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DOI：
10.1090/s0002-9939-2011-11084-0
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发表时间：
2009-03
期刊：
影响因子：
--
通讯作者：
Yuguang Zhang;Zhenlei Zhang
中科院分区：
文献类型：
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作者：
Yuguang Zhang;Zhenlei Zhang
本文证明了具有非正Yamabe不变量的闭4-流形的Hitchin-Thorpe型不等式，并承认了具有有界数量曲率的正规化Ricci流方程的长时间解.
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.