## Fe erman , Nodal sets of eigenfunctions on Riemannian manifolds

- Ch. H. Donelly
- Invent . math .
- 1992

Let u 6 6 const satisfy an elliptic equation L 0 u a i;j D ij u+b j D j u = 0 with smooth coeecients in a domain in R n. It is shown that the critical set jruj ?1 f0g has locally nite n ? 2-dimensional Hausdorr measure. This implies in particular that for a solution u 6 6 0 of (L 0 + c)u = 0, with c 2 C 1 , the critical zero set u ?1 f0g \ jruj ?1 f0g has… (More)

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