Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896007 | Journal of Geometry and Physics | 2012 | 14 Pages |
Abstract
We give an upper bound for the (n−1)(n−1)-dimensional Hausdorff measure of the critical set of eigenfunctions of the Laplacian on compact analytic nn-dimensional Riemannian manifolds. This is the analog of a result on the nodal set of eigenfunctions by H. Donnelly and C. Fefferman.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Bakri Laurent,