Covariant Lie derivatives and Fr\"olicher-Nijenhuis bracket on Lie Algebroids
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🧮 math.DG
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algebroidsbracketcovariantderivativesolicher-nijenhuisactingallowsconcise
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We define covariant Lie derivatives acting on vector-valued forms on Lie algebroids and study their properties. This allows us to obtain a concise formula for the Fr\"olicher-Nijenhuis bracket on Lie algebroids.
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