Scalar Curvature on some Open 3-Manifolds

2021/10/14 by Gérard Besson, Besson, Gérard
Mathematics · #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · doi:10.48550/arxiv.2110.07207

openalex publication_date 2021/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article is a survey of recent results about scalar curvature and contractible open 3-manifolds. It is dedicated to the memory of Professor S. S. Chern.

Citations

• Ricci curvature for metric-measure spaces via optimal transport
• Minimal Varieties in Riemannian Manifolds
• Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
• Ricci flow with surgery on three-manifolds
• The dihedral rigidity conjecture for n-prisms

Related

• 3-Manifolds with positive scalar curvature and bounded geometry
• Contractible 3-manifold and Positive scalar curvature (II)
• Equivariant 3-manifolds with positive scalar curvature
• Contractible 3-manifold and Positive scalar curvature (I)
• Four Lectures on Scalar Curvature