A generalization of Poisson-Nijenhuis structures

Aïssa Wade

doi:10.1016/S0393-0440(01)00015-8

A generalization of Poisson-Nijenhuis structures

Aïssa Wade

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	217-232
Number of pages	16
Journal	Journal of Geometry and Physics
Volume	39
Issue number	3
DOIs	https://doi.org/10.1016/S0393-0440(01)00015-8
State	Published - Sep 2001

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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10.1016/S0393-0440(01)00015-8

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title = "A generalization of Poisson-Nijenhuis structures",

abstract = "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.",

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0041830459

UR - https://www.scopus.com/pages/publications/0041830459#tab=citedBy

U2 - 10.1016/S0393-0440(01)00015-8

DO - 10.1016/S0393-0440(01)00015-8

M3 - Article

AN - SCOPUS:0041830459

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VL - 39

SP - 217

EP - 232

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 3

ER -

A generalization of Poisson-Nijenhuis structures

Abstract

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