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arXiv · 1806.07206

Levi-Civita Ricci-flat metrics on compact complex manifolds

Jie He·Kefeng Liu·Xiaokui Yang
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Abstract

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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BibTeXRIS

Jie He, Kefeng Liu, Xiaokui Yang. 2018-06-18. Levi-Civita Ricci-flat metrics on compact complex manifolds. https://arxiv.org/abs/1806.07206

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