Pluriclosed Flow and Hermitian-Symplectic Structures

被引：0
|
作者：
Yanan Ye
机构：
[1] Peking University,
来源：
The Journal of Geometric Analysis | 2024年 / 34卷
关键词：
Pluriclosed flow; Hermitian-symplectic structures; Static metric; Compact complex surfaces; Global solutions; 53E30; 51M15; 58J35;
D O I：
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学科分类号：
摘要：
We observe that pluriclosed flow preserves Hermitian-symplectic structures. And we extend pluriclosed flow to a flow of Hermitian-symplectic forms by adding an extra evolution equation, which is determined by the (2, 0)-part of Bismut–Ricci form. Moreover, we obtain a topological obstruction to the existence of global solutions in every dimension.
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