NON-UNIQUENESS OF MINIMAL SURFACES IN A PRODUCT OF CLOSED RIEMANN SURFACES

被引：9

作者：

Markovic, Vladimir ^{[1
]}

机构：

[1] Univ Oxford, All Souls Coll, Oxford, England

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2022年 / 32卷 / 01期

关键词：

HARMONIC MAPS; ENERGY;

D O I：

10.1007/s00039-021-00590-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for every large enough g there exists a Fuchsian representation rho : pi(1)(Sigma(g)) -> Pi(3)(i = 1) PSL(2, R) which yields multiple minimal surfaces in the corresponding product of closed Riemann surfaces.

引用

页码：31 / 52

页数：22

共 50 条

[1] Non-uniqueness of minimal surfaces in a product of closed Riemann surfaces
Vladimir Marković
Geometric and Functional Analysis, 2022, 32 : 31 - 52
[2] MINIMAL IMMERSIONS OF CLOSED RIEMANN SURFACES
SACKS, J
UHLENBECK, K
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 271 (02) : 639 - 652
[3] Non-uniqueness of minimal superpermutations
Johnston, Nathaniel
DISCRETE MATHEMATICS, 2013, 313 (14) : 1553 - 1557
[4] CLOSED GEODESICS ON RIEMANN SURFACES
JORGENSEN, T
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 72 (01) : 140 - 142
[5] HOMOLOGY CLOSED RIEMANN SURFACES
Hidalgo, Ruben A.
QUARTERLY JOURNAL OF MATHEMATICS, 2012, 63 (04): : 931 - 952
[6] On uniqueness of automorphisms groups of Riemann surfaces
Maximiliano, Leyton A.
Hidalgo, Ruben A.
REVISTA MATEMATICA IBEROAMERICANA, 2007, 23 (03) : 793 - 810
[7] MINIMAL MODELS ON RIEMANN SURFACES
FRAU, M
LERDA, A
MCCARTHY, JG
SCIUTO, S
PHYSICS LETTERS B, 1989, 228 (02) : 205 - 213
[8] ON THE MINIMAL-SURFACES OF RIEMANN
TOUBIANA, E
COMMENTARII MATHEMATICI HELVETICI, 1992, 67 (04) : 546 - 570
[9] Uniqueness of PL Minimal Surfaces
Yi NI Department of Mathematics
ActaMathematicaSinica(EnglishSeries), 2007, 23 (06) : 961 - 964
[10] Uniqueness of PL Minimal Surfaces
Yi Ni
Acta Mathematica Sinica, English Series, 2007, 23 : 961 - 964

← 1 2 3 4 5 →