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Mat. Zametki, 2018, Volume 104, Issue 6, Pages 812–822 (Mi mz11783)  

The Grassmann-like Manifold of Centered Planes

O. Belova

Immanuel Kant Baltic Federal University, Kaliningrad

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.

Keywords: Cartan's exterior form method, Grassmann manifold, Norden's normalization, average connection.

DOI: https://doi.org/10.4213/mzm11783

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English version:
Mathematical Notes, 2018, 104:6, 789–798

Bibliographic databases:

UDC: 514.75
Received: 27.08.2017
Revised: 16.01.2018

Citation: O. Belova, “The Grassmann-like Manifold of Centered Planes”, Mat. Zametki, 104:6 (2018), 812–822; Math. Notes, 104:6 (2018), 789–798

Citation in format AMSBIB
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