Abstract
An introduction to concepts of modern differential geometry is given, emphasizing in particular differentiate manifolds, vector fields, principal fibre bundles and connections. The relevance of these concepts for gauge theories and for theories of gravitation is indicated.
The material presented here was the basis of four lectures given at the university of Konstanz in 1986. Dr. A. Hirshfeld has structured the notes and translated them into English. The author wishes to thank him for doing this tremendous work.
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.
References
S. Kobayashi, N. Nomizu: Foundations of Differential Geometry ( Wiley, New York 1963 )
S. Sternberg: Lectures on Differential Geometry (Prentice Hill, Englewood Cliffs, New Jersey 1964 )
Sulanke, P. Wintgen: Differentialgeometrie und Faserbündel ( VEB Deutscher Verlag der Wissenschaften, Berlin 1972 )
Y. Choquet-Bruhat, C. DeWitt-Morette, M. Dillard-Bleick: Analysis, Manifolds, and Physics (North-Holland Publishing Company, Amsterdam, New York, Oxford 1977 )
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Kasper, U. (1991). Fibre Bundles: An Introduction to Concepts of Modern Differential Geometry. In: Debrus, J., Hirshfeld, A.C. (eds) Geometry and Theoretical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76353-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-76353-3_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-76355-7
Online ISBN: 978-3-642-76353-3
eBook Packages: Springer Book Archive