Hypercomplex structures on Courant algebroids

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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 languageEnglish (US)
Pages (from-to)545-550
Number of pages6
JournalComptes Rendus Mathematique
Volume347
Issue number9-10
DOIs
StatePublished - May 1 2009

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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