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Funktsional'nyi Analiz i ego Prilozheniya, 2000, Volume 34, Issue 4, Pages 18–34
DOI: https://doi.org/10.4213/faa323 (Mi faa323) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Theta Function Solutions of the Schlesinger System and the Ernst Equation

D. A. Korotkina, V. B. Matveevb

a Concordia University, Department of Mathematics and Statistics
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (229 kB) Citations (18)
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DOI: https://doi.org/10.4213/faa323
Abstract: We establish a link between the Schlesinger system and the Ernst equation (the stationary axisymmetric Einstein equation) on the level of algebro-geometric solutions. We calculate all metric coefficients corresponding to general algebro-geometric solutions of the Ernst equation.
Received: 26.04.1999
English version:
Functional Analysis and Its Applications, 2000, Volume 34, Issue 4, Pages 252–264
DOI: https://doi.org/10.1023/A:1004153222818
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: D. A. Korotkin, V. B. Matveev, “Theta Function Solutions of the Schlesinger System and the Ernst Equation”, Funktsional. Anal. i Prilozhen., 34:4 (2000), 18–34; Funct. Anal. Appl., 34:4 (2000), 252–264
Citation in format AMSBIB
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\paper Theta Function Solutions of the Schlesinger System and the Ernst Equation
\jour Funktsional. Anal. i Prilozhen.
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\transl
\jour Funct. Anal. Appl.
\yr 2000
\vol 34
\issue 4
\pages 252--264
\crossref{https://doi.org/10.1023/A:1004153222818}
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  • https://doi.org/10.4213/faa323
  • https://www.mathnet.ru/eng/faa/v34/i4/p18
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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