The Grassmann-like manifold of centered planes

DOI10.1134/S000143461811024XzbMath1410.53016OpenAlexW2908205451MaRDI QIDQ668308

O. O. Belova

Publication date: 19 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461811024x

zbMATH Keywords

Grassmann manifoldaverage connectionCartan's exterior form methodNorden's normalization

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Exterior differential systems (Cartan theory) (58A15) Other connections (53B15)

Related Items (3)

Reduction of fibrations of a Grassmann-like manifold of centered planes under normalization ⋮ Higher-order normals on manifolds ⋮ Prolongations generated by horizontal vectors

Cites Work

• On the Grassmann space representing the lines of an affine space
• Differential-geometric structures on manifolds
• Lie derivatives on fiber manifolds.
• Dictionary Learning on Grassmann Manifolds
• Grassmann manifolds and the Grassmann image of submanifolds
• On A Characterization of the Grasshann Manifold Representing the Planes in A Projective Space
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