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Local structure of Jacobi–Nijenhuis manifolds

✍ Scribed by Fani Petalidou; J.M. Nunes da Costa

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
396 KB
Volume
45
Category
Article
ISSN
0393-0440

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✦ Synopsis

After a brief review on the basic notions and the principal results concerning the Jacobi manifolds, the relationship between homogeneous Poisson manifolds and conformal Jacobi manifolds, and also the compatible Jacobi manifolds, we give a generalization of some of these results needed for the contents of this paper. We introduce the notion of Jacobi-Nijenhuis structure and we study the relation between Jacobi-Nijenhuis manifolds and homogeneous Poisson-Nijenhuis manifolds. We present a local classification of homogeneous Poisson-Nijenhuis manifolds and we establish some local models of Jacobi-Nijenhuis manifolds.

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