Category:Definitions/Mean Curvature

This category contains definitions related to Mean Curvature.
Related results can be found in Category:Mean Curvature.

Let $C$ be a curve defined by a real function which is twice differentiable.

Let $\delta \psi$ be the angle of contingence with respect to $2$ points $P$ and $Q$ on $C$.

Let $\delta s$ be the arc length of $C$ between $P$ and $Q$.

The mean curvature of $C$ between $P$ and $Q$ is defined as $\dfrac {\delta \psi} {\delta s}$.