Locally Conformally Symplectic Structures on Compact Non-Kahler Complex Surfaces

被引：15

作者：

Apostolov, Vestislav ^{[1
]}

Dloussky, Georges ^{[2
]}

机构：

[1] Univ Quebec Montreal, Dept Math, CP 8888,Succ Ctr Ville, Montreal, PQ H3C 3P8, Canada

[2] Aix Marseille Univ, CNRS, Cent Marseille, I2M,UMR 7373, 13453,39 Rue F Joliot Curie, F-13411 Marseille 13, France

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2016年 / 2016卷 / 09期

基金：

加拿大自然科学与工程研究理事会;

关键词：

CONE; METRICS; THEOREM; MODULI;

D O I：

10.1093/imrn/rnv211

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every compact complex surface with odd first Betti number admits a locally conformally symplectic 2-form which tames the underlying almost complex structure.

引用

页码：2717 / 2747

页数：31

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