On Invariant Operations on a Manifold with a Linear Connection and an Orientation

On Invariant Operations on a Manifold with a Linear Connection and an Orientation

We prove a theorem that describes all possible tensor-valued natural operations in the presence of a linear connection and an orientation in terms of certain linear representations of the special linear group. As an application of this result, we prove a characterization of the torsion and curvature...

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Bibliographic Details
Main Authors: Adrián Gordillo-Merino, Raúl Martínez-Bohórquez, José Navarro-Garmendia
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Mathematics
Subjects:
natural tensors
linear connections
torsion tensor
curvature operator
Online Access:https://www.mdpi.com/2227-7390/9/20/2577

Internet

https://www.mdpi.com/2227-7390/9/20/2577

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