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Generalized Affine Connections Associated with the Space of Centered Planes

Author

Listed:
  • Olga Belova

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

Abstract

Our purpose is to study a space Π of centered m -planes in n -projective space. Generalized fiberings (with semi-gluing) are investigated. Planar and normal affine connections associated with the space Π are set in the generalized fiberings. Fields of these affine connection objects define torsion and curvature tensors. The canonical cases of planar and normal generalized affine connections are considered.

Suggested Citation

  • Olga Belova, 2021. "Generalized Affine Connections Associated with the Space of Centered Planes," Mathematics, MDPI, vol. 9(7), pages 1-9, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:782-:d:530535
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