Tangency Conditions for Trajectories of Two Quadratic Differentials

The dependence of values of functionals occurring in some extremal decomposition problems on the location of the poles of the associated quadratic differentials is established. The proof is based on an analysis of geometric properties of trajectories of two quadratic differentials.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2014-08, Vol.200 (5), p.568-576
1. Verfasser: Emel’yanov, E. G.
Format: Artikel
Sprache:eng
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Zusammenfassung:The dependence of values of functionals occurring in some extremal decomposition problems on the location of the poles of the associated quadratic differentials is established. The proof is based on an analysis of geometric properties of trajectories of two quadratic differentials.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-014-1945-5