Critical set of eigenfunctions of the Laplacian

Details Critical set of eigenfunctions of the Laplacian Critical set of eigenfunctions of the Laplacian

2010-08-10

arxiv.org/abs/1008.1699v2

Mathematics

Differential Geometry

21 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Critical set of eigenfunctions of the Laplacian does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Critical set of eigenfunctions of the Laplacian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical set of eigenfunctions of the Laplacian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583682