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arXiv · 2603.06532

An involutivity theorem for a class of Poisson quasi-Nijenhuis manifolds

Eber Chuño Vizarreta·Gregorio Falqui·Igor Mencattini·Marco Pedroni
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Abstract

This note aims to continue our study about the applications of Poisson quasi-Nijenhuis geometry to the theory of classical completely integrable systems. More precisely, we will present new versions of the deformation and involutivity theorems, under the hypothesis that the closed 2-form triggering the deformation and the closed 3-form defining the Poisson quasi-Nijenhuis structure are factorized. These results will be supplemented by several examples of involutive Poisson quasi- Nijenhuis manifolds.

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Eber Chuño Vizarreta, Gregorio Falqui, Igor Mencattini, Marco Pedroni. 2026-03-06. An involutivity theorem for a class of Poisson quasi-Nijenhuis manifolds. https://arxiv.org/abs/2603.06532

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