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On the geometry of para-Kählerian Cartan spaces - MaRDI portal

On the geometry of para-Kählerian Cartan spaces (Q2471661)

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On the geometry of para-Kählerian Cartan spaces
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    On the geometry of para-Kählerian Cartan spaces (English)
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    18 February 2008
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    In the present paper the author equips Cartan spaces with an almost product structure and defines by analogy with Riemannian spaces of \textit{K. Yano} and \textit{M. Kon} [Structures on Manifolds, World Scientific, Singapore (1984; Zbl 0557.53001)]. a para-Kählerian Cartan structure. Then for such space, he finds necessary and sufficient conditions to be Ricci-semisymmetric, and shows that if a para-Kählerian Cartan space is Ricci-semisymmetric, then it is semisymmetric.
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    Cartan spaces
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    linear and affine connections
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    metric affine connections
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    almost product structures
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    para-Kählerian
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