A characterization of compact locally conformally hyperkähler manifolds

被引：0
|
作者：
Liviu Ornea
Alexandra Otiman
机构：
[1] University of Bucharest,Faculty of Mathematics and Informatics
[2] Institute of Mathematics “Simion Stoilow” of the Romanian Academy,Research Center in Geometry, Topology and Algebra, Faculty of Mathematics and Informatics
[3] Max Planck Institut für Mathematik,undefined
[4] University of Bucharest,undefined
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2019年 / 198卷
关键词：
Locally conformally Kähler; Locally conformally hyperkähler; Weyl connection; Holonomy; Weitzenböck formula; 53C55; 53C26;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of the existence of a non-degenerate complex two-form with natural properties. This is a conformal analogue of Beauville’s theorem stating that a compact Kähler manifold admitting a holomorphic symplectic form is hyperkähler.
引用
收藏
页码：1541 / 1549
页数：8
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