Calculus of Variations and Geometric Measure Theory
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R. Buzano - M. Rupflin

Smooth long-time existence of Harmonic Ricci Flow on surfaces

created by muller on 12 Jun 2018



Inserted: 12 jun 2018
Last Updated: 12 jun 2018

Year: 2015

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.

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