Segre curve

From Diffgeom
Jump to: navigation, search

Template:Curve-in-3D property

Definition

A Segre curve is a closed curve in \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

Facts

Segre's theorem

Further information: Segre's theorem

Any Segre curve has at least four flattenings.