Non-compact inaudibility of weak symmetry and commutativity via generalized Heisenberg groups

2024/01/18 by Arias-Marco, Teresa, Fernández-Barroso, José Manuel · 1 citation
#53C25 #58J50 #58J53 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.10092

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.

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