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arXiv · 2401.10092

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

Teresa Arias-Marco·José Manuel Fernández-Barroso
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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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Teresa Arias-Marco, José Manuel Fernández-Barroso. 2024-01-18. Non-compact inaudibility of weak symmetry and commutativity via generalized Heisenberg groups. https://arxiv.org/abs/2401.10092

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