Caratheodory curve

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Template:Curve-in-3D property

Definition

A Caratheodory curve is a closed C^3-smooth curve in \R^3 with nonvanishing curvature.

Relation with other properties

Stronger properties

Facts

Sedykh's theorem

Further information: Sedykh's theorem

Any Caratheodory curve has at least four flattenings.