THE SPACE OF MINIMAL EMBEDDINGS OF A SURFACE INTO A 3-DIMENSIONAL MANIFOLD OF POSITIVE RICCI CURVATURE

被引：138

作者：

CHOI, HI ^{[1
]}

SCHOEN, R ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY,BERKELEY,CA 94720

来源：

INVENTIONES MATHEMATICAE | 1985年 / 81卷 / 03期

关键词：

D O I：

10.1007/BF01388577

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

引用

收藏

页码：387 / 394

页数：8

相关论文

共 16 条

[1]

FIRST VARIATION OF A VARIFOLD [J].

ALLARD, WK .

ANNALS OF MATHEMATICS, 1972, 95 (03) :417-&

[2]

ON THE RADIAL BEHAVIOR OF MINIMAL-SURFACES AND THE UNIQUENESS OF THEIR TANGENT-CONES [J].

ALLARD, WK ;

ALMGREN, FJ .

ANNALS OF MATHEMATICS, 1981, 113 (02) :215-265

[3]

ANDERSON MT, CURVATURE ESTIMATES

[4]

BRYANT RL, 1982, J DIFFER GEOM, V17, P455

[5]

CHOI HI, 1983, J DIFFER GEOM, V18, P559

[6]

ON FUNDAMENTAL GROUP OF A COMPACT MINIMAL SUBMANIFOLD [J].

FRANKEL, T .

ANNALS OF MATHEMATICS, 1966, 83 (01) :68-&

[7]

Gulliver R., 1976, J DIFFER GEOM, V11, P345

[8]

REGULARITY OF MINIMIZING SURFACES OF PRESCRIBED MEAN CURVATURE [J].

GULLIVER, RD .

ANNALS OF MATHEMATICS, 1973, 97 (02) :275-305

[9]

EXISTENCE THEOREM FOR HARMONIC MAPPINGS OF RIEMANNIAN MANIFOLDS [J].

HILDEBRANDT, S ;

KAUL, H ;

WIDMAN, KO .

ACTA MATHEMATICA, 1977, 138 (1-2) :1-16

[10]

THE CLASSICAL PLATEAU-PROBLEM AND THE TOPOLOGY OF 3-DIMENSIONAL MANIFOLDS - THE EMBEDDING OF THE SOLUTION GIVEN BY DOUGLAS-MORREY AND AN ANALYTIC PROOF OF DEHN LEMMA [J].

MEEKS, WH ;

YAU, ST .

TOPOLOGY, 1982, 21 (04) :409-442