Ricci flow with hyperbolic warped product metrics

✍ Scribed by Li Ma; Xingwang Xu

• Publisher: John Wiley and Sons
• Year: 2011
• Tongue: English
• Weight: 90 KB
• Volume: 284
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200710226

✦ Synopsis

Abstract

In this short note, we show an example that the negative curvature is preserved in the deformation of hyperbolic warped product metrics under Ricci flow. It is showed that the flow converges to a flat metric in the sense of Cheeger‐Gromov as time going to infinity. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim