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

Abstract

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.

Keywords

Vector Bundle Tangent Space Covariant Derivative Tangential Vector Tangent Bundle 
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-Verlag Berlin Heidelberg 2004

Authors and Affiliations

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

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