A local version of the Myers-Steenrod Theorem
Differential Geometry
2020-07-01 v2
Abstract
We prove the Myers-Steenrod theorem for local topological groups of isometries acting on pointed -Riemannian manifolds, with . As an application, we infer a new regularity result for a certain class of locally homogeneous Riemannian metrics.
Keywords
Cite
@article{arxiv.1906.02988,
title = {A local version of the Myers-Steenrod Theorem},
author = {Francesco Pediconi},
journal= {arXiv preprint arXiv:1906.02988},
year = {2020}
}
Comments
11 pages. Some minor modifications. Accepted for publication in Bull. Lond. Math. Soc