Spectral distances on RCD spaces
Differential Geometry
2024-09-23 v3 Metric Geometry
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.
Keywords
Cite
@article{arxiv.2303.11136,
title = {Spectral distances on RCD spaces},
author = {Shouhei Honda},
journal= {arXiv preprint arXiv:2303.11136},
year = {2024}
}
Comments
To appear in Mathematische Zeitschrift. 26 pages