Group of loops, holonomy maps, path bundle and path connection
- 1 May 1993
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 10 (5) , 879-904
- https://doi.org/10.1088/0264-9381/10/5/008
Abstract
Several new results are established concerning the theory of connections in the context of holonomy maps and the group of loops in a given manifold. In particular the Kernel theorem is formulated and proved; it leads to the reconstruction of a connection and a bundle directly from the loops which set up the kernel of a holonomy map.Keywords
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