Geodesic
Analytic embedding of some two-dimensional geometries of maximal mobility
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 916-937

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In this paper, we solve the problem of embedding two-dimensional geometries: simplicial, dual-gelmgoltz, Helmholtz proper and pseudohelmholtz, into three-dimensional geometries. This problem is solved by an analytical method. The functions defining these geometries are found. Basic operators of Lie algebras of groups of motions are calculated.
Keywords: geometry of maximum mobility, functional equation, differential equation, Lie algebra.
Mots-clés : Lie transformation group 
@article{SEMR_2019_16_a55,
     author = {V. A. Kyrov},
     title = {Analytic embedding of some two-dimensional geometries of maximal mobility},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {916--937},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a55/}
}
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V. A. Kyrov. Analytic embedding of some two-dimensional geometries of maximal mobility. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 916-937. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a55/