Generalized Affine Connections Associated with the Space of Centered Planes

Olga Belova
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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

Mathematics, 2021, vol. 9, issue 7, 1-9

Abstract: Our purpose is to study a space ? of centered m -planes in n -projective space. Generalized fiberings (with semi-gluing) are investigated. Planar and normal affine connections associated with the space ? 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.

Keywords: projective space; space of centered planes; planar generalized affine connection; normal generalized affine connection (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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