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.
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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.
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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 )
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© 1991 Springer-Verlag Berlin Heidelberg
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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
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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
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