23 citations · 48 across the 17 of their papers we have counts for
10 papers · 1 filter
-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…
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…
Connected essential spectrum: the case of differential forms
Nelia Charalambous, Zhiqin Lu
In this article we prove that, over complete manifolds of dimension with vanishing curvature at infinity, the essential spectrum of the Hodge Laplacian on differential -form…
The spectrum of the Laplacian on forms
Nelia Charalambous, Zhiqin Lu
In this article we prove a generalization of Weyl's criterion for the spectrum of a self-adjoint nonnegative operator on a Hilbert space. We will apply this new criterion in combin…
The spectrum of the Laplacian on forms over flat manifolds
Nelia Charalambous, Zhiqin Lu
In this article we prove that the spectrum of the Laplacian on -forms over a noncompact flat manifold is always a connected closed interval of the nonnegative real line. The pro…