On almost complex Lie algebroids (Q277035)

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scientific article; zbMATH DE number 6577439
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On almost complex Lie algebroids
scientific article; zbMATH DE number 6577439

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    On almost complex Lie algebroids (English)
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    4 May 2016
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    The present paper is an excellent introduction to the theory of Lie algebroids endowed with almost complex structures. A special case is when the base manifold is also almost complex. The classes of Hermitian and Kählerian Lie algebroids are carefully studied and, for example, a Schur-type result is pointed out in the case of transitive Kähler Lie algebroids.
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    almost complex manifolds
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    Lie algebroids
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    Hermitian metrics
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    Kähler metrics
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