on $[0,T)$. Here maximal means that there is no $\varepsilon > 0$ and no smooth Ricci flow $\tilde g: [0,T+\varepsilon) \to \Gamma(\operatorname{Sym}^2 T^*M)$ such that $\tilde g(t)=g(t)$ for every $t\in[0,T)$.
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Then the curvature of $g(t)$ becomes unbounded as $t$ approaches $T$: