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Abstract
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In this paper, we de fine right-invariant (similarly, left-invariant) Poisson-Nijenhuis Struc-
tures on Lie groupoids and their infi nitesimal counterparts as called (; n)structures. Also, we present
a mutual correspondence between (; n)structures on Lie algebroids with Poisson-Nijenhuis structures
(;N) on their Lie groupoids under some conditions.
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