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Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization

Author

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  • Olga Belova

    (Institute of Physical and Mathematical Sciences and IT, Immanuel Kant Baltic Federal University, A. Nevsky str. 14, 236016 Kaliningrad, Russia)

Abstract

The space Π of centered m -planes is considered in projective space P n . A principal bundle is associated with the space Π and a group connection is given on the principal bundle. The connection is not uniquely induced at the normalization of the space Π . Semi-normalized spaces Π 1 , Π 2 and normalized space Π 1 , 2 are investigated. By virtue of the Cartan–Laptev method, the dynamics of changes of corresponding bundles, group connection objects, curvature and torsion of the connections are discovered at a transition from the space Π to the normalized space Π 1 , 2 .

Suggested Citation

  • Olga Belova, 2019. "Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization," Mathematics, MDPI, vol. 7(10), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:901-:d:271141
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