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arXiv · 1906.02988

A local version of the Myers-Steenrod Theorem

Francesco Pediconi
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Abstract

We prove the Myers-Steenrod theorem for local topological groups of isometries acting on pointed $\mathcal{C}^{k,\alpha}$-Riemannian manifolds, with $k+\alpha>0$. As an application, we infer a new regularity result for a certain class of locally homogeneous Riemannian metrics.

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Francesco Pediconi. 2019-06-07. A local version of the Myers-Steenrod Theorem. https://doi.org/10.1112/blms.12367

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