Calibration (differential geometry) (source code)

= Calibration
{disambiguate=differential geometry}
{title2=$d\varphi=0,\quad\|\varphi\|_*\leq1$}

= Calibration
{synonym}

= Calibration form
{synonym}

A calibration is a closed real <differential form> whose <comass> is at most one. Restricting it to any oriented unit tangent plane therefore gives at most that plane's volume. A <calibrated submanifold> attains equality everywhere, and <calibration implies volume minimization> among homologous competitors.