The Calabi flow with small initial energy
classification
🧮 math.DG
keywords
calabiclassenergyflowinitialkahlermanifoldssmall
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We show that on Kahler manifolds M with c_1(M)=0 the Calabi flow converges to a constant scalar curvature metric if the initial Calabi energy is sufficiently small. We prove a similar result on manifolds with c_1(M)<0 if the Kahler class is close to the canonical class.
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