Definition:Parametrized Curve
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Definition
Let $M$ be a smooth manifold.
Let $I \subseteq \R$ be a real interval.
The parametrized curve, denoted by $\gamma$, is a continuous mapping such that:
- $\gamma : I \to M$
Sources
- 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.) ... (previous) ... (next): $\S 2$: Riemannian Metrics. Lengths and Distances