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ISOMETRIES OF ELLIPTIC 3-MANIFOLDS

Published online by Cambridge University Press:  06 March 2002

DARRYL McCULLOUGH
DARRYL McCULLOUGH
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA; [email protected]
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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), 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.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 65 , Issue 1 , February 2002 , pp. 167 - 182
Copyright
2002 London Mathematical Society

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