1. Some Examples and Observations Let $latex (M^2,g)$, $latex g(t) = e^{2u(t)}g_0$, and $latex \frac{\partial u}{\partial t} = e^{-2u}\Delta u + \frac{r}{2} – e^{-2u}K_0$ Let $latex (M^n,g_{ij}(t))$ and $latex \frac{\partial g_{ij}(t)}{\partial t} = -2Ric(g_{ij})$ The given “smooth” initial: $latex \exists T>0$, the solution exists on $latex [0,T]$ Deturk Trick Threshold Type Theorem Ricci Flow: Mean Curvature Flow: HMF: Calabi Flow: Proof of Observation 4:If the threshold c…
