Slowly converging Yamabe-type flow on manifolds with boundary

DOI10.1142/S0219199722500729OpenAlexW4308802264MaRDI QIDQ6117888

Jinwoo Shin, Pak Tung Ho

Publication date: 20 March 2024

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199722500729

zbMATH Keywords

rate of convergenceLojasiewicz-Simon-type inequalityYamabe flowconformal mean curvature flowAdams-Simon positivity condition

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) PDEs on manifolds (35R01) Flows related to mean curvature (53E10)

Cites Work

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• Convergence of the Yamabe flow for large energies
• Conformal curvature flows on compact manifold of negative Yamabe constant
• Convergence of the Yamabe flow on manifolds with minimal boundary

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