Generalized Affine Connections Associated with the Space of Centered Planes

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 05 Apr 2021 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 782 (eissn: 2227-7390,

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Authors: Olga Belova;

doi: 10.3390/math9070782

Generalized Affine Connections Associated with the Space of Centered Planes

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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.

Related Organizations

Immanuel Kant Baltic Federal University
Russian Federation

Keywords

normal generalized affine connection, space of centered planes, projective space, planar generalized affine connection, QA1-939, Mathematics

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