Bounding sectional curvature along a Kähler-Ricci flow

Abstract

If a normalized Kähler-Ricci flow $g(t),t\in [0,\infty ),$ on a compact Kähler $n$-manifold, $n\ge 3$, of positive first Chern class satisfies $g(t)\in 2\pi c_1(M)$ and has $L^n$ curvature operator uniformly bounded, then the curvature operator will also uniformly bounded along the flow. Consequently the flow will converge along a subsequence to a Kähler-Ricci soliton.

References in corpus (1)

• Compactness results for the Kähler-Ricci flow

Cited by in corpus (1)

• A remark on odd dimensional normalized Ricci flow