Contact Ricci flow

2011/04/11 by Jong Taek Cho, Cho, Jong Taek
Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C25 #msc:53C44 #msc:53D10

paper · pdf · doi:10.48550/arxiv.1104.1853

This paper has been withdrawn by the author due to a serious gap in defining contact Ricci flow

arxiv created 2012/01/17 · arxiv updated 2012/01/18

Abstract

We introduce the notion of contact Ricci flow associated with the Reeb vector field. Using it, we give a simple proof of the Poincare conjecture.

Related

• Contact geometry and the Poincaré conjecture
• Ricci Flow and the Poincare Conjecture
• Ricci flow on Poincare' and Thurston's Geometrization Conjecture
• An Illustrated Introduction to the Ricci Flow
• Computable functions as Reeb flows