Principal Bundles

  • Jouko Mickelsson
Part of the Plenum Monographs in Nonlinear Physics book series (PMNP)


A smooth manifold M is a Hausdorff space which has a complete set (atlas) of coordinate charts (U α α ). Each U α is an open set of M and φ α : U α R n is a homeomorphism onto a subset of the standard Euclidean space such that the coordinate transformations φ α o φ -1 b are smooth functions. The space M is covered by the sets U α . n is the dimension of the manifold M.


Vector Field Vector Bundle Tangent Space Tangent Vector Differential Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • Jouko Mickelsson
    • 1
  1. 1.University of JyväskyläJyväskyläFinland

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