Variation vector field (source code)

= Variation vector field
{title2=$V$}
{wiki=Variation_(geometry)}

For a variation $F(s,t)$ of a curve $\gamma(t)=F(0,t)$, the variation vector field is $V(t)=\partial_sF(0,t)$. A fixed-endpoint variation has $V=0$ at both endpoints.