R. A. Bogdanova, “The Groups of Motions of Two-Dimensional Helmholtz Geometries as Solutions to Functional Equations”, Sib. Zh. Ind. Mat., 12:4 (2009), 12

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Sibirskii Zhurnal Industrial'noi Matematiki, 2009, Volume 12, Number 4, Pages 12–22 (Mi sjim578)

This article is cited in 8 scientific papers (total in 8 papers)

The Groups of Motions of Two-Dimensional Helmholtz Geometries as Solutions to Functional Equations

R. A. Bogdanova

Gorno-Altaisk State University, Gorno-Altaisk

Full-text PDF (222 kB) Citations (8)

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Abstract: We consider the problem of finding the local groups of all motions of two-dimensional Helmholtz geometries, which reduces to solving functional equations.

Keywords: phenomenologically symmetric geometry, the group of motions, functional equation.

Received: 26.01.2009

Bibliographic databases:

UDC: 517.1+512.816

Language: Russian

Citation: R. A. Bogdanova, “The Groups of Motions of Two-Dimensional Helmholtz Geometries as Solutions to Functional Equations”, Sib. Zh. Ind. Mat., 12:4 (2009), 12–22

Citation in format AMSBIB

\Bibitem{Bog09}

\by R.~A.~Bogdanova

\paper The Groups of Motions of Two-Dimensional Helmholtz Geometries as Solutions to Functional Equations

\jour Sib. Zh. Ind. Mat.

\yr 2009

\vol 12

\issue 4

\pages 12--22

\mathnet{http://mi.mathnet.ru/sjim578}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2668807}

Linking options:

https://www.mathnet.ru/eng/sjim578

https://www.mathnet.ru/eng/sjim/v12/i4/p12

This publication is cited in the following 8 articles:

V. A. Kyrov, “Poverkhnosti na psevdogelmgoltsevoi gruppe”, Matem. zametki, 117:2 (2025), 285–294
V. A. Kyrov, “Uravneniya Vaingartena dlya poverkhnostei na gruppakh gelmgoltseva tipa”, Materialy Voronezhskoi mezhdunarodnoi vesennei matematicheskoi shkoly «Sovremennye metody kraevykh zadach. Pontryaginskie chteniya—XXXV», Voronezh, 26-30 aprelya 2024 g. Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 235, VINITI RAN, M., 2024, 68–77
R. A. Bogdanova, G. G. Mikhailichenko, “Derivation of an equation of phenomenological symmetry for some three-dimensional geometries”, Russian Math. (Iz. VUZ), 62:9 (2018), 7–16
V. A. Kyrov, R. A. Bogdanova, “The groups of motions of some three-dimensional maximal mobility geometries”, Siberian Math. J., 59:2 (2018), 323–331
V. A. Kyrov, “Reshenie funktsionalnykh uravnenii, svyazannykh so skalyarnym proizvedeniem”, Chelyab. fiz.-matem. zhurn., 2:1 (2017), 30–45
R. A. Bogdanova, “Dvukhtochechnye invarianty grupp dvizhenii nekotorykh fenomenologicheski simmetrichnykh dvumernykh geometrii”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2016, no. 1(39), 5–12
V. A. Kyrov, “Sobstvenno gelmgoltseva ploskost kak finslerova geometriya”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2016, no. 4(42), 15–22
V. A. Kyrov, “Psevdogelmgoltseva i dualnogelmgoltseva ploskosti, nadelennye finslerovymi geometriyami”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2016, no. 6(44), 5–18

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Сибирский журнал индустриальной математики

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