Long-Time Behavior of the $\alpha$-Ricci Flow on the 2-Torus

Yifan Guo, Xiaokang Wang

We study the $\alpha$-Ricci flow $(g(t),\alpha (t))$, which is a Ricci flow coupled with a harmonic 1-form heat flow, on the 2-torus $M$. We prove global existence for this flow as well as a…