Generalized Affine Connections Associated with the Space of Centered Planes

Generalized Affine Connections Associated with the Space of Centered Planes

Our purpose is to study a space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Π</mo></semantics></math></inline-formula> of centered <i>m</i>-planes in <i>n</i&...

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Bibliographic Details
Main Author: Olga Belova
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematics
Subjects:
projective space
space of centered planes
planar generalized affine connection
normal generalized affine connection
Online Access:https://www.mdpi.com/2227-7390/9/7/782
Description
Summary:Our purpose is to study a space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Π</mo></semantics></math></inline-formula> of centered <i>m</i>-planes in <i>n</i>-projective space. Generalized fiberings (with semi-gluing) are investigated. Planar and normal affine connections associated with the space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Π</mo></semantics></math></inline-formula> 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.
ISSN:2227-7390

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