Levi-Civita Ricci-flat metrics on compact complex manifolds
classification
🧮 math.DG
keywords
compactcomplexlevi-civitametricsricci-flatsurfacesmanifoldsadmitting
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In this paper, we study the geometry of compact complex manifolds with Levi-Civita Ricci-flat metrics and prove that compact complex surfaces admitting Levi-Civita Ricci-flat metrics are Kahler Calabi-Yau surfaces or Hopf surfaces.
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