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Questions about the group of isometries of a metric space, in particular, a Riemannian manifold.

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On sub-maximally symmetric Riemannian spaces

Is there a 4-dimensional Riemannian manifold with 8-dimensional isometry group? Context: Guido Fubini (Annali di Mat., ser. 3, 8 (1903) 54) shows that the dimension $n$ of the isometry group of a $d$- …
Thomas Schucker's user avatar