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The Grassmann-like Manifold of Centered Planes

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Abstract

Connections associated with the Grassmann-like manifold of centered planes in the multidimensional projective space are studied. A geometric interpretation of these connections in terms of maps and translations of equipping planes is given. An intrinsic analog of Norden’s strong normalization of the manifold under consideration is constructed.

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Authors and Affiliations

  1. Immanuel Kant Baltic Federal University, Kaliningrad, 236041, Russia

    O. O. Belova

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  1. O. O. Belova
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Correspondence to O. O. Belova.

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Original Russian Text © O. O. Belova, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 6, pp. 812–822.

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Belova, O.O. The Grassmann-like Manifold of Centered Planes. Math Notes 104, 789–798 (2018). https://doi.org/10.1134/S000143461811024X

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