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
[11]   COMPLETE MINIMAL SURFACES IN EUCLIDEAN N-SPACE [J].
CHERN, SS ;
OSSERMAN, R .
JOURNAL D ANALYSE MATHEMATIQUE, 1967, 19 :15-&
[12]  
CHERN SS, 1965, DIFFERENTIAL COMBINA, P00187
[13]  
De Giorgi E., 1965, ATTI ACCAD NAZ LIN, V8, P352
[14]  
DEGIORGI E, 1965, ANN SCUOLA NORM SUP, V19, P79
[15]  
DOCARMO M, TO BE PUBLISHED
[16]  
DOMBROWSKI F, 1968, MATH NACHR, V38, P133
[17]  
Eisenhart L. P., 1949, RIEMANNIAN GEOMETRY
[18]  
Federer H., 1969, GRUNDLEHREN MATH WIS
[19]  
FLANDERS H, TO BE PUBLISHED
[20]  
FLEMING WH, 1962, REND CIRC MAT PALERM, V11, P69