Abstract
The spectrum of the Laplace operator plays a central role in Riemannian Geometry. From qualitative point of view, one of the most important results in this direction is due to Uhlenbeck [20]. It is known that the following properties are generic on the set of metrics: a) The eigenspaces are all of dimension 1, b) 0 is not a critical point for any eigenfunction, c) All eigenfunctions are M…