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