Defining pointwise lower scalar curvature bounds for \(C^0\) metrics with regularization by Ricci flow

DOI10.3842/SIGMA.2020.128zbMath1455.53100arXiv2007.14967MaRDI QIDQ2217989

Paula Burkhardt-Guim

Publication date: 12 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.14967

zbMATH Keywords

scalar curvatureRicci flowsynthetic lower curvature bounds

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Ricci flows (53E20)

Related Items (3)

Ricci flow of \(W^{2, 2}\)-metrics in four dimensions ⋮ ADM mass for \(C^0\) metrics and distortion under Ricci-DeTurck flow ⋮ Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting)

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• Uniqueness and stability of Ricci flow through singularities
• Dirac and Plateau billiards in domains with corners
• The positive mass theorem for manifolds with distributional curvature
• Parabolic equations with rough data

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