On uniqueness of Riemann's examples

被引：6

作者：

Fang, Y ^{[1
]}

Wei, FS

机构：

[1] Australian Natl Univ, Sch Math Sci, Ctr Math & Applicat, Canberra, ACT 0200, Australia

[2] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 05期

关键词：

D O I：

10.1090/S0002-9939-98-04441-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a properly embedded minimal annulus with one flat end, bounded in a slab by lines or circles, is a part of a Riemann's example.

引用

页码：1531 / 1539

页数：9

共 17 条

[1]

[Anonymous], 1984, EIGENVALUES RIEMANNI

[2]

[Anonymous], 1989, J AMS, DOI DOI 10.1090/S0894-0347-1989-1002088-X

[3]

[Anonymous], 1986, SURVEY MINIMAL SURFA

[4] SIZE OF A STABLE MINIMAL SURFACE IN R3 [J].

BARBOSA, JL ;

DOCARMO, M .

AMERICAN JOURNAL OF MATHEMATICS, 1976, 98 (02) :515-528

[5] THE STRUCTURE OF SINGLY-PERIODIC MINIMAL-SURFACES [J].

CALLAHAN, M ;

HOFFMAN, D ;

MEEKS, WH .

INVENTIONES MATHEMATICAE, 1990, 99 (03) :455-481

[6]

Dierkes U, 1992, Minimal Surfaces, VI

[7] ON MINIMAL ANNULI IN A SLAB [J].

FANG, Y .

COMMENTARII MATHEMATICI HELVETICI, 1994, 69 (03) :417-430

[8] Total curvature of branched minimal surfaces [J].

Fang, Y .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (06) :1895-1898

[9] EMBEDDED MINIMAL ANNULI IN R3 BOUNDED BY A PAIR OF STRAIGHT-LINES [J].

HOFFMAN, D ;

KARCHER, H ;

ROSENBERG, H .

COMMENTARII MATHEMATICI HELVETICI, 1991, 66 (04) :599-617

[10]

Jackson S. B., 1944, B AM MATH SOC, V50, P564

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