Local structure of Jacobi--Nijenhuis manifolds
type: Item
instance of: scholarly article
title: Local structure of Jacobi--Nijenhuis manifolds
zbMATH Open document ID: 1030.53076
DOI: 10.1016/S0393-0440(01)00074-2
author: Fani Petalidou
author: J. M. Nunes da Costa
published in: Journal of Geometry and Physics
publication date: 2003-04-02T00:00:00Z
review text: The notion of Jacobi-Nijenhus structure was first introduced by \textit{J. C. Marrero, J. Monterde} and \textit{E. Padron} in [C. R. Acad. Sci., Paris, Sér I Math 329, 797-802 (1999; Zbl 0949.37056)]. In this paper a stricter definition of this notion is proposed and the relation between Jacobi-Nijenhuis manifolds and homogeneous Poisson-Nijenhuis manifolds is studied. The authors also present a local classification of homogeneous Poisson-Nijenhuis manifolds and establish some local models of Jacobi-Nijenhuis manifolds. These provide a hope that this new structure will play a part as important as Poisson, Jacobi and Poisson-Nijenhuis structures in the study of integrable systems.
reviewed by: Guangcun Lu
Mathematics Subject Classification ID: 53D05
Mathematics Subject Classification ID: 53D17
Mathematics Subject Classification ID: 53D10
zbMATH DE Number: 1891231
zbMATH Keywords: Jacobi manifold
zbMATH Keywords: Homogeneous Possion manifold
zbMATH Keywords: Jacobi-Nijenhuis manifold
MaRDI profile type: Publication
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full work available at URL: s0393-0440(01)00074-2
OpenAlex ID: W2133471587
description: scientific article; zbMATH DE number 1891231