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Sbornik: Mathematics, 1997, Volume 188, Issue 5, Pages 771–797
DOI: https://doi.org/10.1070/sm1997v188n05ABEH000235
(Mi sm235)
 

This article is cited in 3 scientific papers (total in 3 papers)

Equivalence and characteristic connections of the Monge–Ampere equations

D. V. Tunitsky

International Center "Sophus Lie"
References:
Abstract: The present paper is devoted to the problem of contact equivalence of the Monge–Ampere equations with two independent variables. When the Monge–Ampere equation is in general position an affine connection can be associated with it in a natural manner. This association enables us to formulate and prove a number of criteria for the contact equivalence of the Monge–Ampere equations in general position that make use of the corresponding properties of affine connections.
Received: 25.09.1995
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 5, Pages 131–157
DOI: https://doi.org/10.4213/sm235
Bibliographic databases:
UDC: 517.95
MSC: Primary 53B05, 53C15, 58A10; Secondary 57R50, 58A17
Language: English
Original paper language: Russian
Citation: D. V. Tunitsky, “Equivalence and characteristic connections of the Monge–Ampere equations”, Mat. Sb., 188:5 (1997), 131–157; Sb. Math., 188:5 (1997), 771–797
Citation in format AMSBIB
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\paper Equivalence and characteristic connections of the~Monge--Ampere equations
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\pages 131--157
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\pages 771--797
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Linking options:
  • https://www.mathnet.ru/eng/sm235
  • https://doi.org/10.1070/sm1997v188n05ABEH000235
  • https://www.mathnet.ru/eng/sm/v188/i5/p131
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:448
    Russian version PDF:182
    English version PDF:15
    References:74
    First page:1
     
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