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- W4301804775 abstract "We extend to the context of Courant algebroids several hierarchies that can be constructed on Poisson-Nijenhuis manifolds. More precisely, we introduce several notions (Poisson-Nijenhuis, deformation-Nijenhuis and Nijenhuis pairs) that extend to Courant algebroids the notion of a Poisson-Nijenhuis manifold, by using the idea that both the Poisson and the Nijenhuis structures, although they seem to be different in nature when considered on manifolds, are just $(1,1)$-tensors on the usual Courant algebroid $TM oplus T^*M $ satisfying several constraints. For each of the generalizations mentioned, we show that there are natural hierarchies obtained by successive deformation by one of the $(1,1)$-tensor." @default.
- W4301804775 created "2022-10-05" @default.
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- W4301804775 date "2011-11-03" @default.
- W4301804775 modified "2023-09-28" @default.
- W4301804775 title "Hierarchies and compatibility on Courant algebroids" @default.
- W4301804775 doi "https://doi.org/10.48550/arxiv.1111.0800" @default.
- W4301804775 hasPublicationYear "2011" @default.
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