Rate of curvature decay for the contracting cusp Ricci flow

2016/06/25 by Peter M. Topping, Hao Yin, Topping, Peter M. +1
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1606.07877

Abstract

We prove that the Ricci flow that contracts a hyperbolic cusp has curvature decay like one over time squared. In order to do this, we prove a new Li-Yau type differential Harnack inequality for Ricci flow on surfaces.

Citations

• On the parabolic kernel of the Schrödinger operator

Related

• Ricci flow on surfaces with cusps
• A generalization of Hamilton's differential Harnack inequality for the Ricci flow
• Curvature bounds via Ricci smoothing
• Existence, Lifespan and Transfer Rate of Ricci Flows on Manifolds with Small Ricci Curvature
• Curvature Estimates for the Ricci Flow II