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In this chapter we illustrate the distinction between intrinsic and extrinsic geometry, the distinction between coordinate singularities and geometric singularities of metric tensors, and demonstrate practical uses of Lagrangian charts and adapted coordinates.

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Intrinsic and Extrinsic Curvatures and Lagrangian Charts

  • 章节

  • 发表日期：

    2025年

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  • Robin W. Tucker,
  • Timothy J. Walton

摘要

In this chapter we illustrate the distinction between intrinsic and extrinsic geometry, the distinction between coordinate singularities and geometric singularities of metric tensors, and demonstrate practical uses of Lagrangian charts and adapted coordinates.