A generalization of Poisson-Nijenhuis structures

JOURNAL OF GEOMETRY AND PHYSICS

卷:39

Article

Wade, A

关键词: Jacobi manifold;    Nijenhuis tensor;    Poisson-Nijenhuis manifolds;    Lie algebroid;   

DOI  :  10.1016/S0393-0440(01)00015-8

来源: Elsevier

【 摘 要 】

We generalize Poisson-Nijenhuis structures. We prove that on a manifold endowed with a Nijenhuis tensor and a Jacobi structure which are compatible, there is a hierarchy of pairwise compatible Jacobi structures. Furthermore, we study the homogeneous Poisson-Nijenhuis structures and their relations with Jacobi structures. (C) 2001 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free