Proposition

Corollary 1 ([Products with stationary factors]). Let ω(t) , T_* , p , and a be as in Theorem 1.1, and let (Y,η) be a compact connected K\"ahler manifold with η of constant scalar curvature. With π_X and π_Y the projections from ^ 10 ×Y , …

Corollary 1 ([Products with stationary factors]). Let ω(t) , T_* , p , and a be as in Theorem 1.1, and let (Y,η) be a compact connected K\"ahler manifold with η of constant scalar curvature. With π_X and π_Y the projections from¹⁰ ×Y , the maximal smooth Calabi flow from Ω₀=π_X^*ω₀+π_Y^*η is Ω(t)=π_X^*ω(t)+π_Y^*η, 0≤t<T_*. For every y∈Y , S(Ω(t))(p,y)∼a(T_*-t)^-1/2 . In particular, finite-time smooth Calabi-flow singularities occur in every complex dimension n≥10 , on¹⁰ ×ⁿ-10 , in a class containing a K\"ahler--Einstein metric.