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Jacobi—Nijenhuis manifolds and compatible Jacobi structures

✍ Scribed by Juan C Marrero; Juan Monterde; Edith Padron

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
339 KB
Volume
329
Category
Article
ISSN
0764-4442

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✦ Synopsis

We propose a definition of Jacobi-Nijenhuis structures, that includes the Poisson-Nijenhuis structures as a particular case. The existence of a hierarchy of compatible Jacobi structures on a Jacobi-Nijenhuis manifold is also obtained. © 1999 Acad6mie des sciences/l~ditions scientifiques et m6dicales Elsevier SAS

R~sum~.

Vari~t~s de Jacobi-Nijenhuis et compatibilit~ des structures de Jacobi

Nous proposons une ddfinition des structures de Jacobi-Nijenhuis qui comprennent comme cas particulier les structures de Poisson-Nijenhuis. On obtient aussi l'existence d'une hidrarchie de structures de Jacobi compatibles sur une varidtd de Jacobi-Nijenhuis. © 1999 Acad6mie des sciences/~ditions scientifiques et m6dicales Elsevier SAS Version franc.aise abrdgde 0764-4442/99/03290797 © 1999 Acad6mie des sciences/l~ditions scientifiques et m6dicales Elsevier SAS. Tous droits n!serv6s.

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