An involutivity theorem for a class of Poisson quasi-Nijenhuis manifolds
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910043910176768 |
|---|---|
| author | Vizarreta, Eber Chuño Falqui, Gregorio Mencattini, Igor Pedroni, Marco |
| author_facet | Vizarreta, Eber Chuño Falqui, Gregorio Mencattini, Igor Pedroni, Marco |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06532 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An involutivity theorem for a class of Poisson quasi-Nijenhuis manifolds Vizarreta, Eber Chuño Falqui, Gregorio Mencattini, Igor Pedroni, Marco Mathematical Physics Differential Geometry 37J35, 53D17, 70H06 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. |
| title | An involutivity theorem for a class of Poisson quasi-Nijenhuis manifolds |
| topic | Mathematical Physics Differential Geometry 37J35, 53D17, 70H06 |
| url | https://arxiv.org/abs/2603.06532 |