Isometries of Elliptic 3‐Manifolds | Zendy

McCullough Darryl | Zendy

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Isometries of Elliptic 3‐Manifolds

Author(s) -

McCullough Darryl

Publication year - 2002

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610701002782

Subject(s) - bijection , mathematics , pure mathematics , invariant (physics) , isometry (riemannian geometry) , constant (computer programming) , isometry group , mathematical analysis , combinatorics , mathematical physics , computer science , programming language

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.

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