Segre curve

Definition

A Segre curve is a closed curve in ${\mathbb{R}}^3$ with nonvanishing curvature and such that there is no pair of distinct points for which the tangents are parallel, and in the same direction.

Relation with other properties

Stronger properties

• Barner curve

Facts

Segre's theorem

Further information: Segre's theorem

Any Segre curve has at least four flattenings.