The linear trace Harnack quadratic on a steady gradient Ricci soliton satisfies the heat equation

DOI10.1090/S0002-9939-2013-12176-3zbMath1276.53069arXiv1105.3494MaRDI QIDQ2839369

Bennett Chow, Peng Lu

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3494

zbMATH Keywords

heat equationgradient Ricci solitonlinear trace Harnack quadratic

Mathematics Subject Classification ID

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

Cites Work

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• The Harnack estimate for the Ricci flow
• A matrix Li-Yau-Hamilton estimate for Kähler-Ricci flow
• Constrained and linear Harnack inequalities for parabolic equations
• Differential Harnack estimates for time-dependent heat equations with potentials
• A monotonicity formula on complete Kähler manifolds with nonnegative bisectional curvature