Inversion with respect to a hypercycle of a hyperbolic plane of positive curvatureстатья
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Аннотация:Inversion with respect to a hypercycle of a hyperbolic plane H^ of positive curvature is investigated. The plane H^ is the projective Cayley–Klein model of two-dimensional de Sitter’s space. One of four analogs of a Euclidean circle on the plane H^ is a hypercycle. The formulae of inversion
with respect to the hypercycle in a canonical frame of the first type are derived. The main properties of this inversion are proved.