Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Hyperstructures on Courant algebroids
Publication Date:	2014-05-26
Authors:	- Paulo Antunes - Joana Margarida Nunes da Costa
Abstract:	We introduce the notion of hypersymplectic structure on a Courant algebroid and we prove the existence of a 1−1 correspondence between hypersymplectic and hyperkahler structures. We show that hypersymplectic structures on Courant algebroids encompass hyperkahler and hyperkahler structures with torsion on Lie algebroids. Cases of hypersymplectic structures on Courant algebroids which are doubles of Lie, quasi-Lie and proto-Lie bialgebroids are investigated.
Institution:	DMUC 14-16
Online version:	http://www.mat.uc.pt...prints/eng_2014.html
Download:	Not available