Gradient estimate for the forward conjugate heat equation of forms under the Ricci flow

DOI10.1142/S0129167X21500816zbMath1481.35097OpenAlexW3187517338WikidataQ125313492 ScholiaQ125313492MaRDI QIDQ5021432

Liangdi Zhang

Publication date: 13 January 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x21500816

zbMATH Keywords

gradient estimateRicci flowdifferential formforward conjugate heat equation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Second-order parabolic equations (35K10) Ricci flows (53E20)

Cites Work

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• The Harnack estimate for the Ricci flow
• Uniformly elliptic operators on Riemannian manifolds
• A complete proof of the Poincaré and geometrization conjectures -- application of the Hamilton-Perelman theory of the Ricci flow
• A matrix Li-Yau-Hamilton estimate for Kähler-Ricci flow
• Gradient estimates for the heat equation under the Ricci flow
• On the parabolic kernel of the Schrödinger operator
• Four-manifolds with positive curvature operator
• \(L^ p\)-pinching and the geometry of compact Riemannian manifolds
• Hessian estimate for heat equation
• Three-manifolds with positive Ricci curvature
• A generalization of Hamilton's differential Harnack inequality for the Ricci flow
• Gradient estimate for eigenforms of Hodge Laplacian
• Geometric Analysis

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