Analytic embedding of some two-dimensional geometries of maximal mobility

摘要

In this paper, we solve the problem of embedding twodimensionalgeometries: simplicial, dual-gelmgoltz, Helmholtz proper andpseudohelmholtz, into three-dimensional geometries. This problem issolved by an analytical method. The functions defining these geometriesare found. Basic operators of Lie algebras of groups of motions arecalculated.