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Isometries of elliptic 3-manifolds

Darryl McCullough
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Abstract

The closed 3-manifolds of constant positive curvature were classified long ago by Seifert and Threlfall. Using well-known information about the orthogonal group O(4), we calculate their full isometry groups Isom(M), determine which elliptic 3-manifolds admit Seifert fiberings that are invariant under all isometries, and verify that the inclusion of Isom(M) to Diff(M) is a bijection on path components.

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Darryl McCullough. 2000-10-08. Isometries of elliptic 3-manifolds. https://arxiv.org/abs/math/0010077

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