From almost smooth spaces to RCD spaces

Shouhei Honda; Song Sun

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arXiv · 2502.20998

From almost smooth spaces to RCD spaces

Shouhei Honda·Song Sun

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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 Poincar\'e inequality. Applications include a characterization of Einstein $4$-orbifolds.

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Shouhei Honda, Song Sun. 2025-02-28. From almost smooth spaces to RCD spaces. https://arxiv.org/abs/2502.20998

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