L∞ estimates for K\"ahler-Ricci flow on K\"ahler-Einstein Fano manifolds: a new derivation
Abstract
Assuming Perelman's estimates, we give a new proof of uniform L∞ estimate along normalized K\"ahler-Ricci flow on Fano manifolds with K\"ahler-Einstein metrics, using Chen-Cheng's auxiliary Monge-Amp\`ere equation and the Alexandrov-Bakelman-Pucci maximum principle. This proof does not use pluripotential theory.
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