Levi-Civita Ricci-flat metrics on compact complex manifolds
arXiv:1806.07206
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.
arXiv admin note: substantial text overlap with arXiv:1706.01219