Category:Regular Curves
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This category contains results about Regular Curves.
Definitions specific to this category can be found in Definitions/Regular Curves.
Let $M$ be a smooth manifold.
Let $I \subseteq \R$ be a real interval.
Let $\gamma : I \to M$ be a smooth curve.
For all $t \in I$ let $T_{\map \gamma t} M$ be the tangent space of $M$ at the point $\map \gamma t$.
Then $\gamma$ is called a regular curve if and only if:
- $\forall t \in I : \map {\gamma'} t \ne 0$
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