Geodesic
On a Grassmann-like manifold and an analog of the Neufeld connection
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Tome 203 (2021), pp. 3-10

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The invariant analytic Cartan–Laptev method is applied to the study of a Grassmann-like manifold of centered planes in the projective space. In a principal bundle over this manifold, an analog of the Neufeld connection is constructed. We prove that an analog of the strong Norden normalization induces an analog of the Neufeld connection. The curvature and torsion objects of this connection are analyzed and compared with similar objects for Grassmann manifolds and the space of centered planes.
Keywords: Cartan–Laptev method, Grassmann-like manifold of centered planes, Neufeld connection, curvature
Mots-clés : torsion. 
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     author = {O. Belova},
     title = {On a {Grassmann-like} manifold and an analog of the {Neufeld} connection},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {3--10},
     publisher = {mathdoc},
     volume = {203},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_203_a0/}
}
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O. Belova. On a Grassmann-like manifold and an analog of the Neufeld connection. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Tome 203 (2021), pp. 3-10. http://geodesic.mathdoc.fr/item/INTO_2021_203_a0/