We consider the notion of principal connection on the bundle of second-order frames, together with some of its relations to first-order jets of linear connections. We derive some interesting expression for the covariant derivative of geometric objects of order two, which might be useful in physical applications.
Connections over the bundle of second-order frames
FERRARIS, Marco;FRANCAVIGLIA, Mauro;
1990-01-01
Abstract
We consider the notion of principal connection on the bundle of second-order frames, together with some of its relations to first-order jets of linear connections. We derive some interesting expression for the covariant derivative of geometric objects of order two, which might be useful in physical applications.
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