5 citations · 5 across the 4 of their papers we have counts for
4 papers
Spectral geometry of the curl operator on smoothly bounded domains
Josef Greilhuber, Willi Kepplinger
We show that the spectrum of the curl operator on a generic smoothly bounded domain in three-dimensional Euclidean space consists of simple eigenvalues. The main new ingredient in…
On Arnold's Transversality Conjecture for the Laplace--Beltrami Operator
Josef Greilhuber, Willi Kepplinger
This paper is concerned with the structure of the set of Riemannian metrics on a connected manifold such that the corresponding Laplace--Beltrami operator has an eigenvalue of a gi…
On spectral simplicity of the Hodge Laplacian and Curl Operator along paths of metrics
Willi Kepplinger
We prove that the curl operator on closed oriented -manifolds, i.e., the square root of the Hodge Laplacian on its coexact spectrum, generically has -dimensional eigenspaces,…
An Algorithm taking Kirby diagrams to Trisection diagrams
Willi Kepplinger
We present an algorithm taking a Kirby diagram of a closed oriented -manifold to a trisection diagram of the same manifold. This algorithm provides us with a large number of exa…