AI 中文总结
该研究证明了齐性空间的菲诺-韦佐尼猜想，明确了复齐性空间紧离散商空间为凯勒空间的条件，并给出了全纯闭流的收敛结论。
AI 中文摘要
我们证明，若带有紧迷向子群的复齐性空间的紧离散商空间同时容许平衡度量和全纯闭度量，则它是凯勒空间。此外，若其实第一陈类为零，则从任意不变全纯闭度量出发的全纯闭流存在任意长时间，并光滑收敛到平坦凯勒度量。
英文摘要
We prove that a compact discrete quotient of a complex homogeneous space with compact isotropy is Kähler whenever it admits both a balanced metric and a pluriclosed metric. Moreover, if its real first Chern class vanishes, then the pluriclosed flow starting from any invariant pluriclosed metric exists for all time and converges smoothly to a flat Kähler metric.
Comments10 pages. Comments are welcome!
