Calculus of Variations and Geometric Measure Theory

R. Buzano - M. Rupflin

Smooth long-time existence of Harmonic Ricci Flow on surfaces

created by muller on 12 Jun 2018
modified on 13 Jun 2022


Published Paper

Inserted: 12 jun 2018
Last Updated: 13 jun 2022

Journal: Journal of the London Mathematical Society
Volume: 95
Year: 2017
Doi: 10.1112/jlms.12005

ArXiv: 1510.03643 PDF


We prove that at a finite singular time for the Harmonic Ricci Flow on a surface of positive genus both the energy density of the map component and the curvature of the domain manifold have to blow up simultaneously. As an immediate consequence, we obtain smooth long-time existence for the Harmonic Ricci Flow with large coupling constant.