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Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 4, Pages 38–51 (Mi sjim636)  

This article is cited in 15 scientific papers (total in 15 papers)

Functional equations in pseudo-Euclidean geometry

V. A. Kyrov

Gorno-Altajsk State University, Gorno-Altajsk
References:
Abstract: We solve functional equations on the metrics of all phenomenologically symmetric geometries in dimension n+1 that extend the metric of the n-dimensional pseudo-Euclidean geometry.
Keywords: functional equation, phenomenologically symmetric geometry.
Received: 24.02.2010
Bibliographic databases:
Document Type: Article
UDC: 517.965+514.74
Language: Russian
Citation: V. A. Kyrov, “Functional equations in pseudo-Euclidean geometry”, Sib. Zh. Ind. Mat., 13:4 (2010), 38–51
Citation in format AMSBIB
\Bibitem{Kyr10}
\by V.~A.~Kyrov
\paper Functional equations in pseudo-Euclidean geometry
\jour Sib. Zh. Ind. Mat.
\yr 2010
\vol 13
\issue 4
\pages 38--51
\mathnet{http://mi.mathnet.ru/sjim636}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2841212}
Linking options:
  • https://www.mathnet.ru/eng/sjim636
  • https://www.mathnet.ru/eng/sjim/v13/i4/p38
  • This publication is cited in the following 15 articles:
    1. V. A. Kyrov, “Reshenie zadachi vlozheniya dlya dvumernykh i trekhmernykh geometrii lokalnoi maksimalnoi podvizhnosti”, Materialy Voronezhskoi vesennei matematicheskoi shkoly «Sovremennye metody teorii kraevykh zadach. Pontryaginskie chteniya–XXX». Voronezh, 3–9 maya 2019 g. Chast 5, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 194, VINITI RAN, M., 2021, 124–143  mathnet  crossref
    2. V. A. Kyrov, “Analiticheskoe vlozhenie geometrii so skalyarnym proizvedeniem”, Matem. tr., 23:1 (2020), 150–168  mathnet  crossref
    3. V. A. Kyrov, “Analiticheskoe vlozhenie nekotorykh dvumernykh geometrii maksimalnoi podvizhnosti”, Sib. elektron. matem. izv., 16 (2019), 916–937  mathnet  crossref
    4. 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  mathnet  crossref  isi
    5. 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  mathnet  crossref  crossref  isi  elib
    6. V. A. Kyrov, “Analiticheskii metod vlozheniya mnogomernykh psevdoevklidovykh geometrii”, Sib. elektron. matem. izv., 15 (2018), 741–758  mathnet  crossref
    7. V. A. Kyrov, “Vlozhenie mnogomernykh osobykh rasshirenii psevdoevklidovykh geometrii”, Chelyab. fiz.-matem. zhurn., 3:4 (2018), 408–420  mathnet  crossref  elib
    8. V. A. Kyrov, “Ob odnom semeistve funktsionalnykh uravnenii”, Vladikavk. matem. zhurn., 20:3 (2018), 69–77  mathnet  crossref  elib
    9. V. A. Kyrov, “Vlozhenie fenomenologicheski simmetrichnykh geometrii dvukh mnozhestv ranga (N,M) v fenomenologicheski simmetrichnye geometrii dvukh mnozhestv ranga (N+1,M)”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 27:1 (2017), 42–53  mathnet  crossref  elib
    10. V. A. Kyrov, “Reshenie funktsionalnykh uravnenii, svyazannykh so skalyarnym proizvedeniem”, Chelyab. fiz.-matem. zhurn., 2:1 (2017), 30–45  mathnet  mathscinet  elib
    11. V. A. Kyrov, G. G. Mikhailichenko, “Analiticheskii metod vlozheniya evklidovoi i psevdoevklidovoi geometrii”, Tr. IMM UrO RAN, 23, no. 2, 2017, 167–181  mathnet  crossref  elib
    12. V. A. Kyrov, G. G. Mikhailichenko, “Analiticheskii metod vlozheniya simplekticheskoi geometrii”, Sib. elektron. matem. izv., 14 (2017), 657–672  mathnet  crossref
    13. V. A. Kyrov, “O nekotorom klasse funktsionalnykh uravnenii”, Matematicheskaya fizika i kompyuternoe modelirovanie, 20:5 (2017), 17–26  mathnet  crossref
    14. V. A. Kyrov, “Vlozhenie fenomenologicheski simmetrichnykh geometrii dvukh mnozhestv ranga (N,2) v fenomenologicheski simmetrichnye geometrii dvukh mnozhestv ranga (N+1,2)”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 26:3 (2016), 312–323  mathnet  crossref  mathscinet  elib
    15. V. A. Kyrov, “Ob odnom klasse funktsionalno-differentsialnykh uravnenii”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(26) (2012), 31–38  mathnet  crossref
    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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