MMN-2104

To a question on the existence of regular mosaics on a hyperbolic plane of positive curvature

L. Romakina;

Abstract

A hyperbolic plane $\widehat{H}$ of positive curvature can be realized on ideal domain of a Lobachevskii plane. The plane $\widehat{H}$ is the projective Cayley\,--\,Klein model of two-dimensional de Sitter space. In this work it is proved that there is no regular mosaic on the plane $\widehat{H}$.


Vol. 19 (2018), No. 2, pp. 1117-1132
DOI: https://doi.org/10.18514/MMN.2018.2104


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