Definition:Radial Geodesic in Normal Neighborhood
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Let $U_p$ be the normal neighborhood for $p \in M$.
Let $I \subseteq \R$ be a real interval such that $0 \in I$.
Let $\map \gamma t : I \to M$ be the geodesic such that:
- $\map \gamma 0 = p$
- $\map \gamma I \subseteq U$
Then $\gamma$ is called the radial geodesic.