Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 61, No. 3, pp. 355-368 (2004)

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A new proof of the existence of hierarchies of Poisson--Nijenhuis structures

J. Monterde

Dept. de Geometria i Topologia, Universitat de València,
Avda. Vicent Andrés Estellés, 1, E-46100-Burjassot (València) -- SPAIN
E-mail: monterde@uv.es

Abstract: Given a Poisson--Nijenhuis manifold, a two-parameter family of Poisson--Nijenhuis structures can be defined. As a consequence we obtain a new and noninductive proof of the existence of hierarchies of Poisson--Nijenhuis structures.

Keywords: Poisson--Nijenhuis structure; Gerstenhaber algebra; generating operator.

Classification (MSC2000): 58F05, 53C15.; 58F07.

Full text of the article:

Electronic version published on: 7 Mar 2008.

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