Relative volume comparison of Ricci flow

DOI10.1007/s11425-021-1869-5zbMath1484.53121OpenAlexW3160243785MaRDI QIDQ2236585

Zhen Lei Zhang, Tian, Gang

Publication date: 25 October 2021

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-021-1869-5

zbMATH Keywords

Ricci flowlocal entropyrelative volume comparison

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Ricci flows (53E20)

Related Items (max. 100)

The holomorphic d-scalar curvature on almost Hermitian manifolds ⋮ A local Sobolev inequality on Ricci flow and its applications ⋮ On the improved no-local-collapsing theorem of Ricci flow ⋮ Diameter estimates for long-time solutions of the Kähler-Ricci flow ⋮ Curvature estimates for the continuity method ⋮ Notes on Ricci flows with collapsinginitial data (I): Distance distortion ⋮ Higher-order estimates of long-time solutions to the Kähler-Ricci flow ⋮ A note on Harnack type inequality for the Gaussian curvature flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The conjugate heat equation and ancient solutions of the Ricci flow
• Heat kernel bounds, ancient \(\kappa \) solutions and the Poincaré conjecture
• A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow
• Notes on Perelman's papers
• On the parabolic kernel of the Schrödinger operator
• Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators
• Convergence of Ricci flows with bounded scalar curvature
• The local entropy along Ricci flow part A: the no-local-collapsing theorems
• Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature. II
• Three-manifolds with positive Ricci curvature
• Bounds on volume growth of geodesic balls under Ricci flow
• Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature
• The Ricci flow under almost non-negative curvature conditions
• Compact blow-up limits of finite time singularities of Ricci flow are shrinking Ricci solitons
• New Logarithmic Sobolev Inequalities and an ɛ-Regularity Theorem for the Ricci Flow
• A lower bound for the heat kernel
• A Uniform Sobolev Inequality Under Ricci Flow
• Geometric Analysis

This page was built for publication: Relative volume comparison of Ricci flow