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<p>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.</p>

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From almost smooth spaces to RCD spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月14日

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  • Shouhei Honda,
  • Song Sun

摘要

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.