  Let $\ncal_{\phi_{\lambda}}$ be the nodal hypersurface of a
$\Delta$-eigenfunction $\phi_{\lambda}$ of eigenvalue $\lambda^2$ on a smooth
Riemannian manifold. We prove the following lower bound for its surface
measure: $\hcal^{n-1}(\ncal_{\phi_{\lambda}}) \geq C
\lambda^{\frac74-\frac{3n}4} $. The best prior lower bound appears to be $e^{-
C \lambda}$.
