The Sunada method on Metric Measure Spaces

Lewis Tadman

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arXiv · 2608.28562

The Sunada method on Metric Measure Spaces

Lewis Tadman

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Abstract

In this paper, we provide a general Sunada--Pesce--Sutton-type method that produces pairs of isospectral metric measure spaces. This construction relies on a representation theoretic assumption, and we give examples of spaces satisfying this condition, such as RCD spaces. As an application, we construct a pair of simply connected isospectral, non-isometric RCD non-Alexandrov spaces and a pair of Alexandrov non-orbifold spaces.

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Lewis Tadman. 2026-08-28. The Sunada method on Metric Measure Spaces. https://arxiv.org/abs/2608.28562

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