<p>We prove that the pluriclosed flow preserves the Vaisman condition on compact complex surfaces if and only if the starting metric has constant scalar curvature.</p>

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The pluriclosed flow and the Vaisman condition

  • Giuseppe Barbaro,
  • Francesco Pediconi,
  • Nicoletta Tardini

摘要

We prove that the pluriclosed flow preserves the Vaisman condition on compact complex surfaces if and only if the starting metric has constant scalar curvature.