On the Teichmuller theorem and the heights theorem for quadratic differentials

被引：0

作者：

Wu, SJ ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 03期

关键词：

quasiconformal mapping; Teichmuller differential; Hamilton sequence; quadratic differentials;

D O I：

10.1090/S0002-9939-00-05579-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the Marden-Strebel heights theorem for quadratic differentials, we provide a concrete method for finding the Teichmuller differential associated with the Teichmuller mapping between compact or finitely punctured Riemann surfaces.

引用

页码：765 / 770

页数：6

共 50 条

[31] On the distance theorem in quadratic optimization
Zolezzi, T
[J]. JOURNAL OF CONVEX ANALYSIS, 2002, 9 (02) : 693 - 700
[32] A gluing theorem and applications in subspaces of the universal Teichmuller space
Fan, Jinhua
Hu, Jun
[J]. IN THE TRADITION OF AHLFORS-BERS, VII, 2017, 696 : 87 - 99
[33] Teichmuller spaces, ergodic theory and global Torelli theorem
Verbitsky, Misha
[J]. PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL II, 2014, : 793 - 811
[34] Haupt’s theorem for strata of abelian differentials
Matt Bainbridge
Chris Johnson
Chris Judge
Insung Park
[J]. Israel Journal of Mathematics, 2022, 252 : 429 - 459
[35] A THEOREM ON CONDITIONAL EXTREMES WITH AN APPLICATION TO TOTAL DIFFERENTIALS
COURT, LM
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 2 (03) : 423 - 428
[36] EXTREMAL LENGTH, REPRODUCING DIFFERENTIALS AND ABELS THEOREM
MINDA, CD
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (04) : 735 - 737
[37] Haupt's theorem for strata of abelian differentials
Bainbridge, Matt
Johnson, Chris
Judge, Chris
Park, Insung
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2022, 252 (01) : 429 - 459
[38] A CHARACTERIZATION OF TEICHMULLER DIFFERENTIALS
MARDEN, A
STREBEL, K
[J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 1993, 37 (01) : 1 - 29
[39] The quadratic slice theorem and the equiaffine tube theorem for equiaffine Dupin hypersurfaces
Koike N.
[J]. Results in Mathematics, 2005, 47 (1-2) : 69 - 92
[40] RELATIVE HEIGHTS AND A DENSITY VERSION OF A THEOREM OF SAMUEL
BROWN, ML
[J]. QUARTERLY JOURNAL OF MATHEMATICS, 1987, 38 (149): : 1 - 11

← 1 2 3 4 5 →