Isometries of Elliptic 3‐Manifolds

By Darryl McCullough. 2000

47 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f739b9884eee2f328e9c7819c835353cd7fb4de7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Binglong Chen
2. Xiping Zhu
3. Siu-Hung Tang
4. Huaihuo Cao
5. S. Brendle
6. Lei Ni
7. Le Yin
8. Xiaohua Zhu

In Mathematical Physics

1. Binglong Chen
2. Xiping Zhu

Citations in the corpus

• Complete classification of compact four-manifolds with positive isotropic curvature (2008, background): “By [15], the mapping class group of three dimensional spherical space form S(3)/Γ is a finite group.”