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arXiv · 1608.06467

On the isometry group of $RCD^*(K,N)$-spaces

Luis Guijarro·Jaime Santos-Rodríguez
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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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Luis Guijarro, Jaime Santos-Rodríguez. 2016-08-23. On the isometry group of $RCD^*(K,N)$-spaces. https://arxiv.org/abs/1608.06467

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