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On the Lie derivative of an affine connection and its geometrical meaning
https://doi.org/10.1142/S0219887825500859Cited by:0 (Source: Crossref)
Abstract
In this paper, we present geometrical interpretations of the Lie derivative and the Lie-invariance for an affine connection, based on two geometrical constructions: the former is given on the tangent bundle and relies on the notion of linear Ehresmann connection; the latter is developed on the frame bundle and is based on the more common notion of principal connection.
