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arXiv · 2411.17179

Right invariant Poisson Nijenhuis structures on Lie groupoids Correspondence and Classification

Ghorbanali Haghighatdoost
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Abstract

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 .

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Ghorbanali Haghighatdoost. 2024-11-26. Right invariant Poisson Nijenhuis structures on Lie groupoids Correspondence and Classification. https://arxiv.org/abs/2411.17179

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