# Evolute of a curve

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Let $\gamma$ be a smooth planar curve, space curve, or more generally, a smooth curve in a Riemannian manifold. The evolute of $\gamma$ is defined as the locus of the center of curvature for each point on $\gamma$, with respect to $\gamma$.