On the \(C^\alpha\)-convergence of the solution of the Chern-Ricci flow on elliptic surfaces (Q330480)

In the paper under review, the authors prove the following theorem:NEWLINENEWLINETheorem: Let \(M\) be a minimal non-Kähler properly elliptic surface and let \(\omega(t)\) be the solution of the normalized Chern-Ricci flow starting at a Hermitian metric of the form NEWLINE\[NEWLINE \omega_0=\omega_V+\sqrt{-1}\,\partial\bar{\partial}\,\psi > 0. NEWLINE\]NEWLINE Then the metrics \(\omega(t)\) are uniformly bounded in the \(C^1\)-topology and, as \(t\to\infty\), \(\omega(t)\to\omega_{\infty}\) in the \(C^\alpha\)-topology, for every \(0<\alpha<1\).