A Gaussian upper bound of the conjugate heat equation along Ricci-harmonic flow

DOI10.2140/pjm.2017.287.465zbMath1373.53091arXiv1412.3200OpenAlexW3098660483MaRDI QIDQ521746

Xian-Gao Liu, Kui Wang

Publication date: 12 April 2017

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

Full work available at URL: https://arxiv.org/abs/1412.3200

zbMATH Keywords

Sobolev inequalityRicci-harmonic flowGaussian upper bound

Mathematics Subject Classification ID

Related Items (3)

Regularity and curvature estimate for List's flow in four dimension ⋮ Sharp logarithmic Sobolev inequalities along an extended Ricci flow and applications ⋮ Long time existence and bounded scalar curvature in the Ricci-harmonic flow

Cites Work

• The Harnack estimate for the Ricci flow
• A note on Perelman's LYH-type inequality
• A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow
• Sharp logarithmic Sobolev inequalities on gradient solitons and applications
• Evolution of an extended Ricci flow system
• On the parabolic kernel of the Schrödinger operator
• Four-manifolds with positive curvature operator
• The entropy formula for linar heat equation
• The fundamental solution on manifolds with time-dependent metrics
• Three-manifolds with positive Ricci curvature
• Differential Harnack inequalities for the backward heat equation with potential under the harmonic-Ricci flow
• Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
• Ricci flow coupled with harmonic map flow
• Pseudolocality for the Ricci Flow and Applications
• Optimal Sobolev Inequalities on Complete Riemannian Manifolds with Ricci Curvature Bounded Below and Positive Injectivity Radius
• A Uniform Sobolev Inequality Under Ricci Flow
• Geometric Analysis

This page was built for publication: A Gaussian upper bound of the conjugate heat equation along Ricci-harmonic flow