A simple proof on the non-existence of shrinking breathers for the Ricci flow

Shu-Yu Hsu

Suppose $M$ is a compact n-dimensional manifold, $n\ge 2$, with a metric $g_{ij}(x,t)$ that evolves by the Ricci flow ${\partial }_t{g}_{ij}=-2R_{ij}$ in $M\times (0,T)$. We will give a…