Nijenhuis and compatible tensors on Lie and Courant algebroids

Author:

Antunes P.,Nunes da Costa J.M.

Funder

CMUC

FCT

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference19 articles.

1. F. Magri, C. Morosi, A geometrical characterization of integrable Hamiltonian systems through the theory of Poisson–Nijenhuis manifolds, Quaderno S 19, Univ. of Milan, 1984.

2. Generalized complex structures and Lie brackets;Crainic;Bull. Braz. Math. Soc. (NS),2011

3. Compatible structures on Lie algebroids and Monge–Ampère operators;Kosmann-Schwarzbach;Acta Appl. Math.,2010

4. P. Antunes, Crochets de Poisson gradués et applications: structures compatibles et généralisations des structures hyperkählériennes, Thèse de Doctorat de l’École Polytechnique, March 2010.

5. Complementary 2-forms of Poisson structures;Vaisman;Compos. Math.,1996

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1. Courant-Nijenhuis algebroids;Journal of Geometry and Physics;2023-10

2. Split Courant algebroids as L∞-structures;Journal of Geometry and Physics;2020-09

3. Geometry of Monge–Ampère Structures;Nonlinear PDEs, Their Geometry, and Applications;2019

4. Nijenhuis forms on Lie-infinity algebras associated to Lie algebroids;Communications in Algebra;2017-10-30

5. Nijenhuis forms on L∞-algebras and Poisson geometry;Differential Geometry and its Applications;2015-02

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