Weighted area-minimizing submanifolds with soap-film-like singularities assembled from special Lagrangian pieces

被引：0

作者：

Hieu Doan The ^{[1
]}

机构：

[1] Hue Univ, Hue Geometry Grp, Hue, Vietnam

来源：

SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 10期

关键词：

weighted area-minimizing under diffeomorphisms; special Lagrangian; IMMISCIBLE FLUIDS; SURFACES; DIFFEOMORPHISMS; NETWORKS; SET; R-2;

D O I：

10.1007/s11425-010-4079-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A sufficient condition for a set of calibrated submanifolds to be area-minimizing with multiplicities, also call weighted area-minimizing under diffeomorphisms (WAMD) is stated We construct some WAMD submanifolds by assembling pieces of special Lagrangian (SL) normal bundles including the one of three surfaces meeting at an angle of 120 degrees along soap-film-like singularities We also mention a symmetry property of SL submanifolds and Bjorling type problem for SL normal bundles

引用

页码：2749 / 2754

页数：6

共 12 条

[1]

Borisenko A., 1993, ADV SOVIET MATH, V15, P269

[2]

Bryant R., 1991, BOL SOC BRAS MAT, V21, P122

[3] Every stationary polyhedral set in R(n) is area minimizing under diffeomorphisms [J].