| 1. | This motivates the definition of geodesic normal coordinates on a Riemannian manifold.
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| 2. | The " U k " are known as the normal coordinates.
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| 3. | By contrast, there is no way to define normal coordinates for Finsler manifolds.
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| 4. | The properties of normal coordinates often simplify computations.
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| 5. | Rindler coordinates as described above can be generalized to curved spacetime, as Fermi normal coordinates.
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| 6. | These are called ( geodesic ) normal coordinates, and are often used in Riemannian geometry.
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| 7. | Normal coordinates always exist for the Levi-Civita connection of a Riemannian or Pseudo-Riemannian manifold.
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| 8. | The GF method gives the linear transformation from general internal coordinates to the special set of normal coordinates.
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| 9. | Incremental plot, entered with the ASCII Record Separator ( RS ) character, replaced the normal coordinates with single-character directions.
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| 10. | A basic result of differential geometry states that normal coordinates at a point always exist on a manifold with a symmetric affine connection.
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