The velocity of a surface curve is tangent. If its acceleration is normal, then
(1)
so every affinely parametrized geodesic has constant speed.

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  1. Ambient acceleration criterion for a surface geodesic
  2. Geodesic equation
  3. Riemannian geometry
  4. Differential geometry
  5. Geometry and topology
  6. Area of mathematics
  7. Mathematics
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