Triangulation in Friedmann's cosmological model

Details Triangulation in Friedmann's cosmological model Triangulation in Friedmann's cosmological model

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977rbrfi...7..583f&link_type=abstract

Revista Brasileira de Fisica, vol. 7, Dec. 1977, p. 583-589. Research supported by the Financiadora de Estudos e Projetos.

Mathematics

Differential Geometry

Astrometry, Big Bang Cosmology, Riemann Manifold, Triangulation, Curvature, Hyperbolic Coordinates, Relativity, Space-Time Functions

Scientific paper

A study is presented to demonstrate the effects of the curvature of Friedmannian space on triangulation techniques employed in the measurement of great astronomical distances. For a closed universe, the measurement may be based on Riemannian (or doubly elliptic) geometry, while for the case of an open universe, Bolyai-Lobachevski (or hyperbolic) geometry may be adopted. Differential geometry is used to illustrate the nature of a plane in the Friedmannian universe models; finite trigonometry provides the solutions of the triangulation problems.

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