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Parallel Transport, Connections, and Covariant Derivatives

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Riemannian Geometry and Geometric Analysis

Part of the book series: Universitext ((UTX))

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Abstract

Let X be a vector field on ℝd, V a vector at x 0 ∈ ℝd. We want to analyse how one takes the derivative of X at x 0 in the direction V.

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© 1998 Springer-Verlag Berlin Heidelberg

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Jost, J. (1998). Parallel Transport, Connections, and Covariant Derivatives. In: Riemannian Geometry and Geometric Analysis. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22385-7_3

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  • DOI: https://doi.org/10.1007/978-3-662-22385-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63654-0

  • Online ISBN: 978-3-662-22385-7

  • eBook Packages: Springer Book Archive

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