MINIMAL VARIETIES

被引:46
作者
OSSERMAN, R
机构
关键词
Bernstein’s theorem; Complex analytic; Curves; Dirichlet problem; Elliptic system of equations; Gauss curvature; Gauss map; Laplace-Beltrami operator; Mean curvature vector; Minimal cone; Minimal hypersurface; Minimal submanifold; Minimal surface; Minimal variety; Nevanlinna theory; Plateau’s problem; Removable; Scalar curvature; Singularities; Variational formula;
D O I
10.1090/S0002-9904-1969-12357-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This is a survey article, reporting on recent results in the theory of minimal varieties in euclidean space, and including a number of theorems on minimal submanifolds of spheres. © 1969 American Mathematical Society.
引用
收藏
页码:1092 / &
相关论文
共 76 条
[1]   ON BOUNDARY REGULARITY FOR PLATEAUS PROBLEM [J].
ALLARD, WK .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (03) :522-&
[3]   MEROMORPHIC MINIMAL SURFACES [J].
BECKENBA.EF ;
HUTCHISO.GA .
PACIFIC JOURNAL OF MATHEMATICS, 1969, 28 (01) :17-&
[4]  
BELTRAMI E, 1904, OPERE, V2, P1
[5]  
BLASCHKE W., 1960, GRUNDLEHREN MATH WIS, V58
[6]   MINIMAL CONES AND BERNSTEIN PROBLEM [J].
BOMBIERI, E ;
DEGIORGI, E ;
GIUSTI, E .
INVENTIONES MATHEMATICAE, 1969, 7 (03) :243-&
[7]   A PRIORI MAJORATION RELATING TO NON-PARAMETRICAL MINIMAL HYPERSURFACES [J].
BOMBIERI, E ;
DEGIORGI, E ;
MIRANDA, M .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1969, 32 (04) :255-&
[8]  
BOMBIERI E, 1968, REND SEM MAT FIS MIL, V38, P2
[9]   ISOMETRIC IMBEDDING OF COMPLEX MANIFOLDS [J].
CALABI, E .
ANNALS OF MATHEMATICS, 1953, 58 (01) :1-23
[10]  
CHERN S, TO BE PUBLISHED