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Compatibility between an almost Dirac structure and a connection - MaRDI portal

Compatibility between an almost Dirac structure and a connection (Q611166)

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scientific article; zbMATH DE number 5826235
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Compatibility between an almost Dirac structure and a connection
scientific article; zbMATH DE number 5826235

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    Compatibility between an almost Dirac structure and a connection (English)
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    14 December 2010
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    This paper generalizes the notion of compatibility of bivector fields and 2-differential forms to Dirac structures and affine connections. The author shows how the compatibility with a symmetric connection implies integrability. Finally, he considers this notion of compatibility in the case of Lie groups and Riemannian homogeneous spaces.
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    Dirac structures
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    connections
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    compatibility
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    Lie groups
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    Riemannian homogeneous spaces
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