Isometries of elliptic 3-manifolds
Geometric Topology
2007-05-23 v1 Differential Geometry
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.
Cite
@article{arxiv.math/0010077,
title = {Isometries of elliptic 3-manifolds},
author = {Darryl McCullough},
journal= {arXiv preprint arXiv:math/0010077},
year = {2007}
}