Defining Pointwise Lower Scalar Curvature Bounds for 𝐶⁰ Metrics with Regularization by Ricci Flow

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 𝐶⁰ metrics. We discuss several properties of these definitions and explain some applications of this approach to questions regarding uniform convergence o...

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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
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Defining Pointwise Lower Scalar Curvature Bounds for 𝐶⁰ Metrics with Regularization by Ricci Flow. Paula Burkhardt-Guim. SIGMA 16 (2020), 128, 10 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine