Mild Ricci curvature restrictions for steady gradient Ricci solitons

2011/03/28 by Bennett Chow, Peng Lu, Peng Lü +2
Mathematics · Physics and Astronomy · #53C44 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C44

paper · pdf · doi:10.48550/arxiv.1103.5505

We correct an error in the previous version and add a reference. 3 pages

openalex publication_date 2011/03/28 · arxiv created 2011/04/19 · arxiv updated 2011/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show for a complete noncompact steady Ricci soliton that there exists a sequence x_i of points tending to infinity such that |Rc|(x_i) limits to zero.

Citations

• On the parabolic kernel of the Schrödinger operator

Related

• Curvature estimates for steady Ricci solitons
• A criterion for the triviality of non-steady gradient Ricci solitons
• A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons
• On a dichotomy of the curvature decay of steady Ricci soliton
• A lower bound for the scalar curvature of certain steady gradient Ricci solitons