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Hierarchies and
compatibility on Courant algebroids
Paulo Antunes, Camille Laurent-Gengoux and Joana M. Nunes da Costa |
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Vol. 261 (2013), No. 1, 1–32
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Abstract |
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We introduce Poisson–Nijenhuis, deforming-Nijenhuis and Nijenhuis pairs that extend to Courant algebroids the notion of a Poisson–Nijenhuis manifold, both the Poisson and the Nijenhuis structures being (1,1)-tensors on a Courant algebroid. In each case, we construct the natural hierarchies by successive deformation by one of the (1,1)-tensors. |
Keywords
Courant algebroid, Nijenhuis, Poisson–Nijenhuis
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Mathematical Subject Classification 2010
Primary: 53D17
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Milestones
Received: 4 October 2011
Revised: 15 September 2012
Accepted: 13 October 2012
Published: 28 February 2013
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Authors |
| Paulo Antunes | |
| CMUC Department of Mathematics University of Coimbra Apartado 3008 3001-454 Coimbra Portugal |
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| Camille Laurent-Gengoux | |
| UMR 7122 Université de Metz 57045 Metz France |
CMUC Department of Mathematics University of Coimbra 3001-454 Coimbra Portugal |
| Joana M. Nunes da Costa | |
| CMUC Department of Mathematics University of Coimbra Apartado 3008 3001-454 Coimbra Portugal |
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