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This chapter introduces the reader to the notion of a linear connection on an n-dimensional manifold, the notion of covariant derivatives of tensors and the parallel transport of vectors along curves.

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General Linear Connections, Curvature and Torsion Tensors

  • 章节

  • 发表日期：

    2025年

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  • Robin W. Tucker,
  • Timothy J. Walton

摘要

This chapter introduces the reader to the notion of a linear connection on an n-dimensional manifold, the notion of covariant derivatives of tensors and the parallel transport of vectors along curves.