Hypercomplex structures on Courant algebroids

Mathieu Stiénon

doi:10.1016/j.crma.2009.02.020

Hypercomplex structures on Courant algebroids

Mathieu Stiénon

Mathematics

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

5 Scopus citations

Abstract

Hypercomplex structures on Courant algebroids unify holomorphic symplectic structures and usual hypercomplex structures. In this Note, we prove the equivalence of two characterizations of hypercomplex structures on Courant algebroids, one in terms of Nijenhuis concomitants and the other in terms of (almost) torsionfree connections for which each of the three complex structures is parallel. To cite this article: M. Stiénon, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

Original language	English (US)
Pages (from-to)	545-550
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	347
Issue number	9-10
DOIs	https://doi.org/10.1016/j.crma.2009.02.020
State	Published - May 2009

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.crma.2009.02.020

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AB - Hypercomplex structures on Courant algebroids unify holomorphic symplectic structures and usual hypercomplex structures. In this Note, we prove the equivalence of two characterizations of hypercomplex structures on Courant algebroids, one in terms of Nijenhuis concomitants and the other in terms of (almost) torsionfree connections for which each of the three complex structures is parallel. To cite this article: M. Stiénon, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

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Hypercomplex structures on Courant algebroids

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