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Locally homogeneous RCD spaces

Published 3 Apr 2024 in math.DG and math.MG | (2404.02390v2)

Abstract: The goal of this note is to demonstrate how existing results can be adapted to establish the following result: A locally metric measure homogeneous $\mathrm{RCD}(K,N)$ space is isometric to, after multiplying a positive constant to the reference measure, a smooth Riemannian manifold with the Riemannian volume measure.

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