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Locally homogeneous RCD spaces (2404.02390v2)
Published 3 Apr 2024 in math.DG and math.MG
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.
- N. Gigli: Nonsmooth differential geometry – An approach tailored for spaces with Ricci curvature bounded from below. Mem. Amer. Math. Soc. 251 (2018), no. 1196.
- N. Gigli: De Giorgi and Gromov working together. ArXiv preprint: 2306.14604
- R. Jiang: Cheeger-harmonic functions in metric measure spaces revisited. J. Funct. Anal. 266 (2014), 1373–1394.
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