Journal of the London Mathematical Society



ISOMETRIES OF ELLIPTIC 3-MANIFOLDS


DARRYL McCULLOUGH a1 1
a1 Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA; dmccullough@math.ou.edu

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), 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)



Footnotes

1 The author was supported in part by NSF grant DMS-0102463.