We give an explicit description of the spectrum of the Hodge–Laplace operator on p-forms of an arbitrary lens space for any p. We write the two generating functions encoding the p-spectrum as rational functions. As a ...

We present a new description of the spectrum of the (spin-) Dirac operator D on lens spaces. Viewing a spin lens space L as a locally symmetric space Gammaackslash operatorname{Spin}(2m)/operatorname{Spin}(2m-1) and ...

We make a computational study to know what kind of isospectralities among lens spaces and lens orbifolds exist considering the Hodge--Laplace operators acting on smooth p-forms. Several evidenced facts are proved and some ...

In this paper we report on recent results by several authors, on the spectral theory of lens spaces and orbifolds and similar locally symmetric spaces of rank one. Most of these results are related to those obtained by ...

To every n-dimensional lens space L, we associate a congruence lattice L in ℤm, with n=2m - 1 and we prove a formula relating the multiplicities of Hodge-Laplace eigenvalues on L with the number of lattice elements of a ...

In this paper we describe recent results on explicit construction of lens spaces that are not strongly isospectral, yet they are isospectral on p-forms for every p. Such examples cannot be obtained by the Sunada method. ...

Purpose: To report a series of cases of Acanthamoeba keratitis (AK) in scleral lens wearers with keratoconus to determine whether this type of contact lens presents a greater risk for development of infection. Methods: ...

We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered ...