23 citations · 48 across the 17 of their papers we have counts for
18 papers
The scattering matrix for the p-form Laplacian on asymptotically conic manifolds
Nelia Charalambous, Alden Waters
We give an explicit description of the scattering matrix for the Hodge-Laplacian on co-closed p-forms on asymptotically conic manifolds of dimension . We develop generaliz…
-spectral theory for the Laplacian on forms
Nelia Charalambous, Zhiqin Lu
In this article, we find sufficient conditions on an open Riemannian manifold so that a Weyl criterion holds for the -spectrum of the Laplacian on -forms, and also prove th…
The Laplace spectrum on conformally compact manifolds
Nelia Charalambous, Julie Rowlett
We consider the spectrum of the Laplace operator acting on over a conformally compact manifold for . We prove that for this spectru…
A Note on the Spectrum of Magnetic Dirac Operators
Nelia Charalambous, Nadine Große
In this article, we study the spectrum of the magnetic Dirac operator, and the magnetic Dirac operator with potential over complete Riemannian manifolds. We find sufficient conditi…
A note on Cheeger's isoperimetric constant
Nelia Charalambous, Zhiqin Lu
In this short exposition we provide a simplified proof of Buser's result for Cheeger's isoperimetric constant.
On the Spectrum of the Dirac operator
Nelia Charalambous, Nadine Große
Our main goal in the present paper is to expand the known class of open manifolds over which the -spectrum of a general Dirac operator and its square is maximal. To achieve th…