Compact 3-MANIFOLDS of Negative Curvature

Details Compact 3-MANIFOLDS of Negative Curvature Compact 3-MANIFOLDS of Negative Curvature

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.2021b&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

Experimental evidence strongly suggests that Ωmatter ≃ 0.3. Until recently, many cosmologists favored a vanishing cosmological constant Λ = 0, and there was considerable interest in models of a hyperbolic (that is, negatively curved) universe. In particular, cosmologists investigating compact, multiply connected models worked in the realm of compact hyperbolic 3-manifolds. Interest in these models has recently diminished because studies of distant supernovae [1,2] and the microwave background [3,4] suggest ΩΛ ≃ 0.7 and Ωtotal ≃ 1.0, implying a flat universe. On the other hand, particle physicists investigating higher-dimensional models of spacetime now have an interest in compact hyperbolic manifolds, so the basic mathematics is relevant in a new context...

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