Application of Lobachevsky's formula on the angle of parallelism to geometry of space and to the cosmological redshift

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

A new formula for an experimental determination of a fundamental
quantity in hyperbolic geometry, namely, Lobachevsky’s
π(δ) function is presented. Applications to cosmology are
discussed. Using the above result, we strongly suggest that the sign of
the curvature of the ambient space is negative.

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