Abstract
The notion of locally trivial fibre bundle naturally generalizes that of the manifold. The theory of these bundles was developed in fifties especially by Ch. Ehresmann but its origins are found in the works of E, Cartan. The fibre bundles were used to get global results in differential geometry as well as to build geometrical models for modern physical theories. As one of the our main purposes is to describe such geometrical models, it is natural to begin with a recalling of the main notions and results from the theory of the fibre bundles. This is the object of the first chapter.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Miron, R., Anastasiei, M. (1994). Fibre Bundles. General Theory. In: The Geometry of Lagrange Spaces: Theory and Applications. Fundamental Theories of Physics, vol 59. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0788-4_1
Download citation
DOI: https://doi.org/10.1007/978-94-011-0788-4_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4338-0
Online ISBN: 978-94-011-0788-4
eBook Packages: Springer Book Archive