Ricci flow on Poincare' and Thurston's Geometrization Conjecture

2011/11/12 by Hassan Jolany, Jolany, Hassan
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1111.2971

openalex publication_date 2011/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this thesis we give a review on Ricci flow, an overview on Poincare conjecture, maximum principle, Li-Yau-Perelman estimate, Two functional F and W of Perelman, Reduced volume and reduced length and k-non collapsing estimate

Related

• Ricci Flow and the Poincare Conjecture
• Perelman, Poincare, and the Ricci Flow
• Perelman's functional and reduced volume
• Completion of the Proof of the Geometrization Conjecture
• Simple proofs of some results of Perelman on Ricci flow