RT Journal Article
T1 Higher order jet bundels of lie group-valued functions
A1 Castrillón López, Marco
A1 Rodríguez Abella, Álvaro
AB For each positive integer k, the bundle of k-jets of functions from a smooth manifold, X, to a Lie group, G, is denoted by Jk(X,G) and it is canonically endowed with a Lie groupoid structure over X. In this work, we utilize a linear connection to trivialize this bundle, i.e., to build an injective bundle morphism from Jk(X,G) into a vector bundle over G. Afterwards, we give the explicit expression of the groupoid multiplication on the trivialized space, as well as the formula for the inverse element. In the last section, a coordinated chart on X is considered and the local expression of the trivialization is computed.
YR 2020
FD 2020
LK https://hdl.handle.net/20.500.14352/7247
UL https://hdl.handle.net/20.500.14352/7247
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
DS Docta Complutense
RD 11 may 2025