Regularity of the Kähler–Ricci flow
Copyright policy )Regularity of the Kähler–Ricci flow
In this short note, we announce a regularity theorem for the Kähler–Ricci flow on a compact Fano manifold (Kähler manifold with positive first Chern class) and its application to the limiting behavior of the Kähler–Ricci flow on Fano 3-manifolds. Moreover, we also present a partial C0 estimate of the Kähler–Ricci flow under the regularity assumption, which extends previous works on Kähler–Einstein metrics and shrinking Kähler–Ricci solitons. The detailed proof will appear elsewhere.
- Peking University China (People's Republic of)
- Capital Normal University China (People's Republic of)
- College of New Jersey United States
- Peking University China (People's Republic of)
shrinking Kähler-Ricci solitons, Fano varieties, Fano manifold, Geometric evolution equations (mean curvature flow, Ricci flow, etc.), positive first Chern class
shrinking Kähler-Ricci solitons, Fano varieties, Fano manifold, Geometric evolution equations (mean curvature flow, Ricci flow, etc.), positive first Chern class
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