Geometry of bundle-valued multisymplectic structures with Lie algebroids (Q6596118)

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scientific article; zbMATH DE number 7904719
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Geometry of bundle-valued multisymplectic structures with Lie algebroids
scientific article; zbMATH DE number 7904719

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    Geometry of bundle-valued multisymplectic structures with Lie algebroids (English)
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    2 September 2024
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    The purpose of the paper is to study moment maps and symplectic reduction of quaternionic Kähler as well as hyper-Kähler manifolds. To this end, the authors introduce multisymplectic structures with values in Lie algebroids, under certain compatibility conditions.
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    multisymplectic geometry
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    momentum maps
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    symplectic reduction
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    Lie algebroids
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