Mathematical Notes

, Volume 104, Issue 5–6, pp 789–798 | Cite as

The Grassmann-like Manifold of Centered Planes

  • O. O. BelovaEmail author


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.


Cartan’s exterior form method Grassmann manifold Norden’s normalization average connection 


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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Immanuel Kant Baltic Federal UniversityKaliningradRussia

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