Ricci flow on manifolds with boundary with arbitrary initial metric

DOI10.1515/crelle-2021-0060OpenAlexW3217496943MaRDI QIDQ2121997

Tsz-Kiu Aaron Chow

Publication date: 5 April 2022

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.04430

zbMATH Keywords

harmonic map heat flowRicci-DeTurck flowshort time existenceHölder continuous initial metrics

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Ricci flows (53E20)

Cites Work

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• The Ricci flow on manifolds with boundary
• A general convergence result for the Ricci flow in higher dimensions
• Four-manifolds with positive curvature operator
• Three-manifolds with positive Ricci curvature
• Curvature flows on surfaces with boundary
• On Ricci deformation of a Riemannian metric on manifold with boundary
• Ricci flow with surgery on manifolds with positive isotropic curvature
• The Ricci flow on surfaces with boundary
• Quasilinear parabolic equations and the Ricci flow on manifolds with boundary
• Manifolds with 1/4-pinched curvature are space forms
• Four-manifolds with positive isotropic curvature

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