Convergence of Ricci flow on \(\mathbb R^{2}\) to flat space

DOI10.1007/s12220-009-9084-9zbMath1176.53066arXiv0908.2264OpenAlexW2068738843MaRDI QIDQ1035195

Mohammad Javaheri, James A. Isenberg

Publication date: 2 November 2009

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2264

zbMATH Keywords

convergenceRicci flowconformally flatfast diffusion

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55)

Related Items (4)

Convergence of Ricci flow on \(\mathbb R^2\) to the plane ⋮ Discrete Morse flow for Ricci flow and porous medium equation ⋮ Existence of Ricci Flows of Incomplete Surfaces ⋮ A convergence result of Ricci flow on \(\mathbb{R}^{3}\) with warped product metric

Cites Work

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• Ricci deformation of the metric on complete non-compact Riemannian manifolds
• The Ricci flow on complete \(\mathbb{R}^ 2\)
• On a singular diffusion equation
• Eternal solutions to the Ricci flow on R2
• Large time behaviour of solutions of the Ricci flow equation on \({\mathbb{R}}^ 2\).
• Asymptotic profile of solutions of a singular diffusion equation as \(t\to\infty\)

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