From almost smooth spaces to RCD spaces

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.

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Publication Details

Journal
Calculus of Variations and Partial Differential Equations
Published
2026-03-14
DOI
https://doi.org/10.1007/s00526-026-03297-2
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

From almost smooth spaces to RCD spaces

Shuai Sun, Shouhei Honda
Calculus of Variations and Partial Differential Equations
Geometric Analysis and Curvature Flows
article

From almost smooth spaces to RCD spaces

Shuai Sun, Shouhei Honda
article en

Abstract

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.

Calculus of Variations and Partial Differential EquationsVol. 65(4)
The University of Tokyo (JP), Zhejiang University (CN)
University of Tokyo
Reduced inequalities
Openalex Percentile: Top 19%
Geometric Analysis and Curvature Flows
DOIOpen Access PDFOpenAlex
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From almost smooth spaces to RCD spaces — Shuai Sun, Shouhei Honda · Calculus of Variations and Partial Differential Equations (2026) | TGRS Research Map | TGRS