Defining Pointwise Lower Scalar Curvature Bounds for ⁰ Metrics with Regularization by Ricci Flow

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Burkhardt-Guim, Paula
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211091
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Defining Pointwise Lower Scalar Curvature Bounds for ⁰ Metrics with Regularization by Ricci Flow. Paula Burkhardt-Guim. SIGMA 16 (2020), 128, 10 pages

We survey some recent work using Ricci flow to create a class of local definitions of weak lower scalar curvature bounds that is well defined for ⁰ metrics. We discuss several properties of these definitions and explain some applications of this approach to questions regarding uniform convergence of...