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Lower bounds on the Hausdorff measure of nodal sets
Lower bounds Hausdorff measure of nodal sets
2010/12/8
Let N' be the nodal hypersurface of a -eigenfunction ' of eigenvalue 2on a smooth Riemannian manifold. We prove that Hn−1(N') ≥ C7 4− 3n 4 on the surface measure of its nodal set. Th...