All Questions
1 question
9
votes
2
answers
656
views
Behavior of the spectrum of the Laplacian under pointed smooth convergence
The Laplacian on a compact Riemannian manifold has a discrete spectrum. For example on a circle of perimeter $L$ the $n$-th eigenvalue starting at $0$ is $-\lambda_n = -(2\pi/L)^2 n^2$.
On the other ...