We prove the convergence of Kähler-Ricci flow with some small initial curvature conditions. As applications, we discuss the convergence of Kähler-Ricci flow when the complex structure varies on a Kähler-Einstein manifold.
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Univ Texas Dallas, Dept Math Sci, Richardson, TX 75080 USAUniv Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA
Conlon, Ronan J.
Deruelle, Alix
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Univ Paris Saclay, Lab Math Orsay, Orsay, FranceUniv Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA
Deruelle, Alix
Sun, Song
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Zhejiang Univ, Inst Adv Study Math, Hangzhou, Peoples R China
Univ Calif Berkeley, Dept Math, Berkeley, CA USAUniv Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA