# A computational study on lens spaces isospectral on forms

## TL;DR

This paper investigates the spectral properties of lens spaces and orbifolds, focusing on the Hodge--Laplace operators on p-forms, revealing known facts and proposing new conjectures.

## Contribution

It provides a computational analysis of isospectralities among lens spaces and orbifolds, establishing proven facts and conjectures about their spectral characteristics.

## Key findings

- Several facts about isospectral lens spaces are proved.
- Some conjectures regarding spectral properties are proposed.
- The study enhances understanding of the spectral geometry of lens spaces.

## Abstract

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 others are conjectured.