Right invariant Poisson Nijenhuis structures on Lie groupoids Correspondence and Classification
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917475561504768 |
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| author | Haghighatdoost, Ghorbanali |
| author_facet | Haghighatdoost, Ghorbanali |
| contents | In this paper, we introduce right-invariant Poisson-Nijenhuis Structures on Lie groupoids and their infinitesimal counterparts as called (Poisson bivector, Nijenhuis operator) structures. Also, we present a one-to-one correspondence between (Poisson bivector, Nijenhuis operator) structures on Lie algebroids with (Poisson, Nijenhuis) structures on their Lie groupoids under certian conditions. Also, we give some illustrative examples . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17179 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Right invariant Poisson Nijenhuis structures on Lie groupoids Correspondence and Classification Haghighatdoost, Ghorbanali Mathematical Physics 53D17 22A22 58H05 53D18 37K10 In this paper, we introduce right-invariant Poisson-Nijenhuis Structures on Lie groupoids and their infinitesimal counterparts as called (Poisson bivector, Nijenhuis operator) structures. Also, we present a one-to-one correspondence between (Poisson bivector, Nijenhuis operator) structures on Lie algebroids with (Poisson, Nijenhuis) structures on their Lie groupoids under certian conditions. Also, we give some illustrative examples . |
| title | Right invariant Poisson Nijenhuis structures on Lie groupoids Correspondence and Classification |
| topic | Mathematical Physics 53D17 22A22 58H05 53D18 37K10 |
| url | https://arxiv.org/abs/2411.17179 |