Moduli of multiply-connected domains on a Riemannian Mobius strip

We investigate the modulus problem for families of curves in multiply-connected nonorientable domains on a Riemannian Mobius strip. We determine the extremal metric and the modulus of a “cross” family of arcs.

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Datum:2000
Hauptverfasser: Okhrimenko, S. A., Охрименко, С. А.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4425
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Okhrimenko, S. A.
Охрименко, С. А.
Охрименко, С. А.
author_facet Okhrimenko, S. A.
Охрименко, С. А.
Охрименко, С. А.
author_sort Okhrimenko, S. A.
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datestamp_date 2020-03-18T20:28:54Z
description We investigate the modulus problem for families of curves in multiply-connected nonorientable domains on a Riemannian Mobius strip. We determine the extremal metric and the modulus of a “cross” family of arcs.
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spelling umjimathkievua-article-44252020-03-18T20:28:54Z Moduli of multiply-connected domains on a Riemannian Mobius strip Модули многосвязных областей на римановом листе Мебиуса Okhrimenko, S. A. Охрименко, С. А. Охрименко, С. А. We investigate the modulus problem for families of curves in multiply-connected nonorientable domains on a Riemannian Mobius strip. We determine the extremal metric and the modulus of a “cross” family of arcs. Досліджується проблема модуля для сімей кривих у багатозв'язних неорієнтовних областях на рімановому листку Мьобіуса, Знайдено екстремальну метрику та модуль „поперечної" сім'ї дуг. Institute of Mathematics, NAS of Ukraine 2000-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4425 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 3 (2000); 354-358 Український математичний журнал; Том 52 № 3 (2000); 354-358 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4425/5554 https://umj.imath.kiev.ua/index.php/umj/article/view/4425/5555 Copyright (c) 2000 Okhrimenko S. A.
spellingShingle Okhrimenko, S. A.
Охрименко, С. А.
Охрименко, С. А.
Moduli of multiply-connected domains on a Riemannian Mobius strip
title Moduli of multiply-connected domains on a Riemannian Mobius strip
title_alt Модули многосвязных областей на римановом листе Мебиуса
title_full Moduli of multiply-connected domains on a Riemannian Mobius strip
title_fullStr Moduli of multiply-connected domains on a Riemannian Mobius strip
title_full_unstemmed Moduli of multiply-connected domains on a Riemannian Mobius strip
title_short Moduli of multiply-connected domains on a Riemannian Mobius strip
title_sort moduli of multiply-connected domains on a riemannian mobius strip
url https://umj.imath.kiev.ua/index.php/umj/article/view/4425
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