RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2009 Volume 371, Pages 117–136 (Mi znsl3548)

This article is cited 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

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.

UDC: 517.54

Received: 29.09.2009


 English version:
Journal of Mathematical Sciences (New York), 2010, 166:2, 191–202

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025