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Chapter 4 Connections and Curvature

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Abstract

Let X be a vector field on \({\mathbb{R}^{d},}\,{V}\,\, {\rm{a\,vector\,at\,}}{x}_{0}\,\epsilon\,{\mathbb{R}^{d}} \). We want to analyze how one takes the derivative of X at x0 in the direction V.

Keywords

  • Riemannian Manifold
  • Vector Bundle
  • Gauge Transformation
  • Dirac Operator
  • Sectional Curvature

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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  • DOI: 10.1007/978-3-642-21298-7_4
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Correspondence to Jürgen Jost .

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© 2011 Springer-Verlag Berlin Heidelberg

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Jost, J. (2011). Chapter 4 Connections and Curvature. In: Riemannian Geometry and Geometric Analysis. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21298-7_4

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