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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 371, Pages 117–136 (Mi znsl3548)  
This article is cited in 1 scientific paper (total in 1 paper)

On symmetric configurations in some problems on extremal decomposition. III

G. V. Kuz'mina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: Some problems on extremal decomposition in families of nonoverlapping domains containing systems of biangles with free vertices are considered. In particular, a symmetrization result for systems of biangles with vertices on the unit circle is established. Cases where the problems considered reduce to some known problems on extremal decomposition are revealed. Bibl. – 8 titles.
Key words and phrases: extremal decomposition, biangle, redused module of biangle, trajectory, quadratic differential.
Received: 29.09.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 2, Pages 191–202
DOI: https://doi.org/10.1007/s10958-010-9859-3
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: G. V. Kuz'mina, “On symmetric configurations in some problems on extremal decomposition. III”, Analytical theory of numbers and theory of functions. Part 24, Zap. Nauchn. Sem. POMI, 371, POMI, St. Petersburg, 2009, 117–136; J. Math. Sci. (N. Y.), 166:2 (2010), 191–202
Citation in format AMSBIB
\Bibitem{Kuz09}
\by G.~V.~Kuz'mina
\paper On symmetric configurations in some problems on extremal decomposition.~III
\inbook Analytical theory of numbers and theory of functions. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 371
\pages 117--136
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3548}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 166
\issue 2
\pages 191--202
\crossref{https://doi.org/10.1007/s10958-010-9859-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952096955}
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  • https://www.mathnet.ru/eng/znsl/v371/p117
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