# Segre curve

From Diffgeom

## Contents

## Definition

A **Segre curve** is a closed curve in 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.