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Jun 23, 2020 at 19:23 comment added Ben McKay Two good references for finite dimensionality results of symmetry groups of various structures on manifolds: Kobayshi, Transformation Groups, and d'Ambra, Gromov, Lectures on transformation groups: geometry and dynamics.
Jun 23, 2020 at 12:59 vote accept Grisha Taroyan
Jun 23, 2020 at 12:52 comment added YCor (This is not surprising: for an arbitrary connected Riemannian manifold, the isometry group is a [finite-dimensional] Lie group.)
Jun 23, 2020 at 12:50 history answered YCor CC BY-SA 4.0