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This article is cited in 2 scientific papers (total in 2 papers)
Reduction of bundles of a Grassmann-like manifold of centered planes under normalization
O. Belova Immanuel Kant Baltic Federal University, Kaliningrad
Abstract:
In the projective space $P_n$, we consider the Grassmann-like manifold $Gr^*(m,n)$ of centered planes and the associated principal bundle. We perform the normalization of the manifold $Gr^*(m,n)$ by the normal fields of the first and second orders and the the adaptation of the bundle corresponding to these normals. Semi-normalized spaces of the first and second kind and the normalized space are examined. The dynamics of changes of the corresponding bundles is established when passing from the space $Gr^*(m,n)$ to the normalized space.
Keywords:
Cartan–Laptev method, Grassmann-like manifold of centered planes, normalization, reduction.
Citation:
O. Belova, “Reduction of bundles of a Grassmann-like manifold of centered planes under normalization”, Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 180, VINITI, Moscow, 2020, 3–8
Linking options:
https://www.mathnet.ru/eng/into634 https://www.mathnet.ru/eng/into/v180/p3
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Abstract page: | 119 | Full-text PDF : | 58 | References: | 20 |
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