Curvatures of hypersurfaces of transitivity of Bianchi model universes

Details Curvatures of hypersurfaces of transitivity of Bianchi model universes Curvatures of hypersurfaces of transitivity of Bianchi model universes

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980jmp....21..870h&link_type=abstract

Journal of Mathematical Physics, Volume 21, Issue 4, pp. 870-873 (1980).

Mathematics

Mathematical Physics

1

Fundamental Problems And General Formalism

Scientific paper

The Riemann curvatures of 2-surfaces are calculated for the spatial, 3-surfaces of transitivity of the various Bianchi models. It is found that some models are generally possessed simultaneously of both negative and positive curvature. The Bianchi V models are remarkable in that however large the degree of metric anisotropy, the curvatures are always isotropic. It is also found that Bianchi IX models, though invariably compact by virtue of the group structure, may have negative mean curvature.

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