Knots and classical 3-geometries | Zendy

Tze-Chuen Toh | Zendy; Malcolm Anderson | Zendy

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Knots and classical 3-geometries

Author(s) -

Tze-Chuen Toh,

Malcolm Anderson

Publication year - 1995

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.531324

Subject(s) - manifold (fluid mechanics) , mathematics , conjecture , statistical manifold , space (punctuation) , pseudo riemannian manifold , statement (logic) , pure mathematics , riemannian manifold , 3 manifold , invariant manifold , hermitian manifold , holonomy , closed manifold , mathematical analysis , information geometry , ricci curvature , geometry , scalar curvature , computer science , mechanical engineering , curvature , law , political science , engineering , operating system

It has been conjectured by Rovelli that there is a correspondence between thespace of link classes of a Riemannian 3-manifold and the space of 3-geometries(on the same manifold). An exact statement of his conjecture will beestablished and then verified for the case when the 3-manifold is compact,orientable and closed.Comment: 14p. type-set in AmS-TeX version 2.

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