Let $(N^{m+1},h)$ be a smooth Riemannian manifold, and let $\Sigma^m \subset N$ be a two-sided smooth minimal hypersurface with induced metric $g$. Let

\begin{align*} \nu: \Sigma &\to TN \end{align*}

be a globally defined smooth unit normal field along $\Sigma$, let $A$ denote the second fundamental form of $\Sigma$ in $N$, let $\operatorname{Ric}_h$ denote the Ricci curvature tensor of $(N,h)$, and let $\mu_\Sigma$ denote the Riemannian volume measure on $(\Sigma,g)$. If $\Sigma$ is stable, meaning that the second variation of area is nonnegative for every compactly supported smooth normal variation, then every $\phi \in C_c^\infty(\Sigma)$ satisfies

\begin{align*} \int_\Sigma \left(|A|_g^2 + \operatorname{Ric}_h(\nu,\nu)\right)\phi^2\,d\mu_\Sigma \le \int_\Sigma |\nabla^\Sigma \phi|_g^2\,d\mu_\Sigma. \end{align*}