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From almost smooth spaces to RCD spaces

Published 28 Feb 2025 in math.DG and math.MG | (2502.20998v1)

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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Authors (2)

  1. Shouhei Honda 
  2. Song Sun 

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