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

Jaime Santos-Rodr\'iguez; Luis Guijarro

arxiv: 1608.06467 · v2 · pith:4G37DZUYnew · submitted 2016-08-23 · 🧮 math.DG · math.MG

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

Luis Guijarro , Jaime Santos-Rodr\'iguez This is my paper

classification 🧮 math.DG math.MG

keywords groupdimensionspacesachievedboundclassifyconditioncurvature

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

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