The isometry groups of manifolds and the automorphism groups of domains

Saerens, Rita; Zame, William R.

doi:10.1090/S0002-9947-1987-0879582-X

The isometry groups of manifolds and the automorphism groups of domains
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by Rita Saerens and William R. Zame PDF

Trans. Amer. Math. Soc. 301 (1987), 413-429 Request permission

Abstract:

We prove that every compact Lie group can be realized as the (full) automorphism group of a strictly pseudoconvex domain and as the (full) isometry group of a compact, connected, smooth Riemannian manifold.

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