A bernstein type result for special Lagrangian submanifolds

被引：1

作者：

Tsui, MP ^{[1
]}

Wang, MT ^{[1
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2002年 / 9卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Sigma be a complete minimal Lagrangian submanifold of C-n. We identify several regions in the Grassmannian of Lagrangian subspaces so that whenever the image of the Gauss map of Sigma lies in one of these regions, then Sigma is an affine space.

引用

页码：529 / 535

页数：7

共 50 条

[1] ON THE BOUNDARIES OF SPECIAL LAGRANGIAN SUBMANIFOLDS
FU, L
DUKE MATHEMATICAL JOURNAL, 1995, 79 (02) : 405 - 422
[2] Deformations of special Lagrangian submanifolds
Salur, S
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2000, 2 (03) : 365 - 372
[3] Connected sums of special Lagrangian submanifolds
Lee, DA
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2004, 12 (03) : 553 - 579
[4] THE BRANCHED DEFORMATIONS OF THE SPECIAL LAGRANGIAN SUBMANIFOLDS
He, Siqi
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023, 33 (05) : 1266 - 1321
[5] The Branched Deformations of the Special Lagrangian Submanifolds
Siqi He
Geometric and Functional Analysis, 2023, 33 : 1266 - 1321
[6] A Bernstein theorem for special Lagrangian graphs
Jost, J
Xin, YL
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2002, 15 (03) : 299 - 312
[7] A Bernstein problem for special Lagrangian equations
Yu Yuan
Inventiones mathematicae, 2002, 150 : 117 - 125
[8] A Bernstein problem for special Lagrangian equations
Yuan, Y
INVENTIONES MATHEMATICAE, 2002, 150 (01) : 117 - 125
[9] A Bernstein theorem for special Lagrangian graphs
Jürgen Jost
Y.L. Xin
Calculus of Variations and Partial Differential Equations, 2002, 15 : 299 - 312
[10] Isometric embeddings of families of special Lagrangian submanifolds
Matessi, D
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2006, 29 (03) : 197 - 220

← 1 2 3 4 5 →