From hypercomplex to holomorphic symplectic structures

被引：2

作者：

Hong, Wei ^{[1
,2
]}

Stienon, Mathieu ^{[3
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan, Peoples R China

[2] Univ Luxembourg, FSTC, Math Res Unit, Luxembourg, Luxembourg

[3] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2015年 / 96卷

关键词：

Courant algebroids; Hypercomplex structures; Holomorphic symplectic structures; Generalized complex geometry; NIJENHUIS;

D O I：

10.1016/j.geomphys.2015.06.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The notions of holomorphic symplectic structures and hypercomplex structures on Courant algebroids are introduced and then proved to be equivalent. These generalize hypercomplex structures and holomorphic symplectic 2-forms on manifolds respectively. Basic properties of such structures are established. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：187 / 203

页数：17

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