Levi-Civita Ricci-flat metrics on compact complex manifolds
Differential Geometry
2018-06-20 v1
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.
Keywords
Cite
@article{arxiv.1806.07206,
title = {Levi-Civita Ricci-flat metrics on compact complex manifolds},
author = {Jie He and Kefeng Liu and Xiaokui Yang},
journal= {arXiv preprint arXiv:1806.07206},
year = {2018}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1706.01219