Critical set of eigenfunctions of the Laplacian

Laurent Bakri

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arXiv · 1008.1699

Critical set of eigenfunctions of the Laplacian

Laurent Bakri

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Abstract

We give an upper bound for the $(n-1)$-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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Laurent Bakri. 2010-08-10. Critical set of eigenfunctions of the Laplacian. https://arxiv.org/abs/1008.1699

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