Critical set of eigenfunctions of the Laplacian
Differential Geometry
2011-05-30 v2 Analysis of PDEs
Abstract
We give an upper bound for the -dimensional Hausdorff measure of the critical set of eigenfunctions of the Laplacian on compact analytic Riemannian manifolds. This is the analog of H. Donnely and C. Fefferman result on nodal set of eigenfunctions.
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Cite
@article{arxiv.1008.1699,
title = {Critical set of eigenfunctions of the Laplacian},
author = {Laurent Bakri},
journal= {arXiv preprint arXiv:1008.1699},
year = {2011}
}
Comments
21 pages