Motivated by physical applications, we revisit some familiar concepts in principal $G$-bundles by means of right-invariant bases of vector fields. In particular, we show that the use of these bases (which, in contrast to the left-invariant ones, are generally not global) allows one to deal more easily with explicit calculations involving $G$-invariant linear connections and tensors.

Remarks on right-invariant vectorfield bases in principal bundles and their applications to decomposition theorems

FERRARIS, Marco;FRANCAVIGLIA, Mauro
1988-01-01

Abstract

Motivated by physical applications, we revisit some familiar concepts in principal $G$-bundles by means of right-invariant bases of vector fields. In particular, we show that the use of these bases (which, in contrast to the left-invariant ones, are generally not global) allows one to deal more easily with explicit calculations involving $G$-invariant linear connections and tensors.
1988
46 (3)
309
322
L. GATTO; M. FERRARIS; M. FRANCAVIGLIA
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/5150
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