Contact geometry and the Poincaré conjecture

2010/06/13 by Jong Taek Cho, Cho, Jong Taek
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #General Mathematics (math.GM) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.GM

paper · pdf · doi:10.48550/arxiv.1006.2511

This paper has been withdrawn by the author due to a serious gap in defining contact Ricci flow

openalex publication_date 2010/06/13 · arxiv created 2012/01/17 · arxiv updated 2012/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a simple proof of the Poincaré conjecture by using the contact Ricci flow associated with the Reeb vector field.

Citations

• Ricci flow with surgery on three-manifolds

Related

• Contact Ricci flow
• Ricci Flow and the Poincare Conjecture
• Ricci flow on Poincare' and Thurston's Geometrization Conjecture
• Perelman, Poincare, and the Ricci Flow
• A Smörgåsbord of (bi)contact structures, Reeb flows and pseudo-Anosov flows