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arXiv · 2303.11136

Spectral distances on RCD spaces

Shouhei Honda
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Abstract

We provide relationships between the spectral convergences in B\'erard-Besson-Gallot sense, in Kasue-Kumura sense and the measured Gromov-Hausdorff convergence, for compact finite dimensional RCD spaces. As an independent interest, a canonical (spectral) approximation map between such spaces constructed by given spectral data is obtained.

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Shouhei Honda. 2023-03-20. Spectral distances on RCD spaces. https://arxiv.org/abs/2303.11136

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