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Constant speed of an affinely parametrized geodesic
...
Area of mathematics
Geometry and topology
Differential geometry
Riemannian geometry
Geodesic equation
Ambient acceleration criterion for a surface geodesic
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The velocity of a surface curve is tangent. If its acceleration is normal, then
d
t
d
∣
γ
˙
∣
2
=
2
γ
˙
⋅
γ
¨
=
0
,
(101)
so every affinely parametrized geodesic has constant speed.
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Ambient acceleration criterion for a surface geodesic
Geodesic equation
Riemannian geometry
Differential geometry
Geometry and topology
Area of mathematics
Mathematics
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