From almost smooth spaces to RCD spaces

Fuente: arXiv
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Autores principales: Honda, Shouhei, Sun, Song
Formato: Preprint
Publicado: 2025
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author Honda, Shouhei
Sun, Song
author_facet Honda, Shouhei
Sun, Song
contents We provide various characterizations for a given almost smooth space to be an RCD space, in terms of a local volume doubling and a local Poincaré inequality. Applications include a characterization of Einstein $4$-orbifolds.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20998
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle From almost smooth spaces to RCD spaces
Honda, Shouhei
Sun, Song
Differential Geometry
Metric Geometry
We provide various characterizations for a given almost smooth space to be an RCD space, in terms of a local volume doubling and a local Poincaré inequality. Applications include a characterization of Einstein $4$-orbifolds.
title From almost smooth spaces to RCD spaces
topic Differential Geometry
Metric Geometry
url https://arxiv.org/abs/2502.20998