ISOMETRIES OF ELLIPTIC 3-MANIFOLDS
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), their full isometry groups Isom(M) are calculated. It is determined which elliptic 3-manifolds admit Seifert fiberings that are invariant under all isometries, and it is verified that the inclusion of Isom(M) to Diff(M) is a bijection on path components.(Received October 30 2000)
(Revised July 24 2001)
1 The author was supported in part by NSF grant DMS-0102463.