Geodesic
The Grassmann-like Manifold of Centered Planes
Matematičeskie zametki, Tome 104 (2018) no. 6, pp. 812-822

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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. 
@article{MZM_2018_104_6_a1,
     author = {O. Belova},
     title = {The {Grassmann-like} {Manifold} of {Centered} {Planes}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {812--822},
     publisher = {mathdoc},
     volume = {104},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_6_a1/}
}
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O. Belova. The Grassmann-like Manifold of Centered Planes. Matematičeskie zametki, Tome 104 (2018) no. 6, pp. 812-822. http://geodesic.mathdoc.fr/item/MZM_2018_104_6_a1/