From hypercomplex to holomorphic symplectic structures

Wei Hong; Mathieu Stiénon

doi:10.1016/j.geomphys.2015.06.008

From hypercomplex to holomorphic symplectic structures

Wei Hong
, Mathieu Stiénon

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	187-203
Number of pages	17
Journal	Journal of Geometry and Physics
Volume	96
DOIs	https://doi.org/10.1016/j.geomphys.2015.06.008
State	Published - Oct 1 2015

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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10.1016/j.geomphys.2015.06.008

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title = "From hypercomplex to holomorphic symplectic structures",

abstract = "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.",

author = "Wei Hong and Mathieu Sti{\'e}non",

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year = "2015",

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T1 - From hypercomplex to holomorphic symplectic structures

AU - Hong, Wei

AU - Stiénon, Mathieu

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N2 - 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.

AB - 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.

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DO - 10.1016/j.geomphys.2015.06.008

M3 - Article

AN - SCOPUS:84962696456

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VL - 96

SP - 187

EP - 203

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

From hypercomplex to holomorphic symplectic structures

Abstract

All Science Journal Classification (ASJC) codes

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