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On the isometry group of $RCD^*(K,N)$-spaces (1608.06467v2)
Published 23 Aug 2016 in math.DG and math.MG
Abstract: We prove that the group of isometries of a metric measure space that satisfies the Riemannian curvature condition, $RCD*(K,N),$ is in fact a Lie group. We obtain an optimal upper bound on its dimension and classify the spaces where this maximal dimension is achieved.
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