Non-compact inaudibility of weak symmetry and commutativity via generalized Heisenberg groups
Differential Geometry
2024-01-19 v1
Abstract
Two Riemannian manifolds are said to be isospectral if there exists a unitary operator which intertwines their Laplace-Beltrami operator. In this paper, we prove in the non-compact setting the inaudibility of the weak symmetry property and the commutative property using an isospectral pair of 23 dimensional generalized Heisenberg groups.
Keywords
Cite
@article{arxiv.2401.10092,
title = {Non-compact inaudibility of weak symmetry and commutativity via generalized Heisenberg groups},
author = {Teresa Arias-Marco and José Manuel Fernández-Barroso},
journal= {arXiv preprint arXiv:2401.10092},
year = {2024}
}