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Matematicheskie Zametki, 2018, Volume 104, Issue 6, Pages 812–822
DOI: https://doi.org/10.4213/mzm11783 (Mi mzm11783) 		 
This article is cited in 14 scientific papers (total in 14 papers)

The Grassmann-like Manifold of Centered Planes

O. Belova

Immanuel Kant Baltic Federal University, Kaliningrad
Full-text PDF (478 kB) Citations (14)
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DOI: https://doi.org/10.4213/mzm11783
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.
Received: 27.08.2017
Revised: 16.01.2018
English version:
Mathematical Notes, 2018, Volume 104, Issue 6, Pages 789–798
DOI: https://doi.org/10.1134/S000143461811024X
Bibliographic databases:
Document Type: Article
UDC: 514.75
Language: Russian
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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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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