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. - 52:5(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.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/3010029
