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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 371, Pages 69–77 (Mi znsl3545)  
This article is cited in 2 scientific papers (total in 2 papers)

A sewing theorem for quadratic differentials

E. G. Emel'yanov

St. Petersburg State University of Economics and Finance, St. Petersburg, Russia
Full-text PDF (573 kB) Citations (2)
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Abstract: Quadratic differentials on a finite Riemann surface with poles of order not exceeding two are considered. The existence of such a differential with prescribed metrical characteristics is proved. These characteristics are the following: the first coefficients in the expansions of a quadratic differential in neighborhoods of it's poles of order two, the conformal modules of the ring domains, and the heights of the strip domains in the decomposition of the Riemann surface defined by this differential. Bibl. – 5 titles.
Key words and phrases: quadratic differential, trajectory, extremal decomposition.
Received: 18.10.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 2, Pages 162–166
DOI: https://doi.org/10.1007/s10958-010-9856-6
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: E. G. Emel'yanov, “A sewing theorem for quadratic differentials”, Analytical theory of numbers and theory of functions. Part 24, Zap. Nauchn. Sem. POMI, 371, POMI, St. Petersburg, 2009, 69–77; J. Math. Sci. (N. Y.), 166:2 (2010), 162–166
Citation in format AMSBIB
\Bibitem{Eme09}
\by E.~G.~Emel'yanov
\paper A sewing theorem for quadratic differentials
\inbook Analytical theory of numbers and theory of functions. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 371
\pages 69--77
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3545}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 166
\issue 2
\pages 162--166
\crossref{https://doi.org/10.1007/s10958-010-9856-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952095960}
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  • https://www.mathnet.ru/eng/znsl/v371/p69
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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