We prove the Myers-Steenrod theorem for local topological groups of isometries acting on pointed 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.
A local version of the Myers-Steenrod theorem / Pediconi, F. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - STAMPA. - 52:(2020), pp. 871-884. [10.1112/blms.12367]
A local version of the Myers-Steenrod theorem
Pediconi, F
2020
Abstract
We prove the Myers-Steenrod theorem for local topological groups of isometries acting on pointed 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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