Extremal lengths of homology classes on Riemann surfaces
作者:
Makoto Masumoto,
期刊:
Journal für die reine und angewandte Mathematik (Crelle's Journal)
(Degruyter Available online 1999)
卷期:
Volume 1999,
issue 508
页码: 17-45
ISSN:0075-4102
年代: 1999
DOI:10.1515/crll.1999.508.17
出版商: Walter de Gruyter
数据来源: Degruyter
摘要:
AbstractWe assign a positive numberV, a new conformal invariant, to a Riemann surfaceRof finite genus in terms of the extremal lengths of certain weak homology classes onR, and determine the range ofV. In particular we find algebraic relations among the extremal lengths of homology classes on compact Riemann surfaces.
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