Some Details

  • Norbert Straumann
Part of the Texts and Monographs in Physics book series (TMP)


In this section we give detailed proofs of some of the theorems formulated in previous sections. In addition, we clarify the notion of vector fields along maps and their induced covariant derivatives, because this is used at various places in the book. For a convenient formulation we introduce the tangent bundle of a manifold, the prototype of a vector bundle. Applications to variations of curves will illustrate the usefulness of the concepts.


Vector Bundle Tangent Space Covariant Derivative Tangential Vector Tangent Bundle 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Norbert Straumann
    • 1
  1. 1.Institut für Theoretische PhysikUniversität ZurichZurichSwitzerland

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