|
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
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
Citation:
O. Belova, “The Grassmann-like Manifold of Centered Planes”, Mat. Zametki, 104:6 (2018), 812–822; Math. Notes, 104:6 (2018), 789–798
Linking options:
https://www.mathnet.ru/eng/mzm11783https://doi.org/10.4213/mzm11783 https://www.mathnet.ru/eng/mzm/v104/i6/p812
|
Statistics & downloads: |
Abstract page: | 341 | Full-text PDF : | 36 | References: | 53 | First page: | 13 |
|