Extremal lengths of homology classes on compact Riemann surfaces

Authors
Masumoto, M
Citation
M. Masumoto, Extremal lengths of homology classes on compact Riemann surfaces, NONLIN ANAL, 47(8), 2001, pp. 5491-5500
Citations number
13
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
8
Year of publication
2001
Part
8
Pages
5491 - 5500
Database
ISI
SICI code
0362-546X(200108)47:8<5491:ELOHCO>2.0.ZU;2-F
Abstract
This is a supplement to our recent paper (J. Reine Angew. Math. 508, 17-45, 1999) on extremal lengths of homology classes on Riemann surfaces of finit e genus. We are mainly concerned with compact Riemann surfaces, and give an alternative proof of one of the main theorems. Also, we give further consi derations to Riemann surfaces of genus one.