具有全纯Lee场的局部共形Kähler流形
微分几何
2019-01-08 v1
摘要
我们证明，具有全纯Lee向量场的紧致lcK流形是Vaisman流形，前提是Lee场具有常范数或度量为Gauduchon型（即Lee场无散度）。我们也给出具有全纯Lee向量场但不是Vaisman的紧致lcK流形的例子。
引用
@article{arxiv.1712.05821,
title = {Locally conformally K\"ahler manifolds with holomorphic Lee field},
author = {Andrei Moroianu and Sergiu Moroianu and Liviu Ornea},
journal= {arXiv preprint arXiv:1712.05821},
year = {2019}
}
备注
6 pages