CONSTANT MEAN-CURVATURE SURFACES CONSTRUCTED BY FUSING WENTE TORI

被引:15
作者
KAPOULEAS, N
机构
[1] Mathematics Department, Brown University, Providence
关键词
D O I
10.1073/pnas.89.12.5695
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Closed smooth surfaces of any genus g greater-than-or-equal-to 2, immersed in E3 and of constant mean curvature, are constructed, by "fusing" Wente tori.
引用
收藏
页码:5695 / 5698
页数:4
相关论文
共 18 条
[1]  
ABRESCH U, 1987, J REINE ANGEW MATH, V374, P169
[2]  
ABRESCH U, 1987, SEMINAR NEW RESULTS, P37
[3]  
Alexandrov A.D., 1956, VESTNIK LENINGRAD U, V11, P5
[4]   STABILITY OF HYPERSURFACES WITH CONSTANT MEAN-CURVATURE [J].
BARBOSA, JL ;
DOCARMO, M .
MATHEMATISCHE ZEITSCHRIFT, 1984, 185 (03) :339-353
[5]   ALL CONSTANT MEAN-CURVATURE TORI IN R3,S-3,H-3 IN TERMS OF THETA-FUNCTIONS [J].
BOBENKO, AI .
MATHEMATISCHE ANNALEN, 1991, 290 (02) :209-245
[6]  
Delaunay C., 1841, J MATH PURES APPL SE, V1, P309
[7]  
ERCOLANI N, 1991, TECHNICAL REPORT
[8]  
HOPF A, 1983, DIFFERENTIAL GEOMETR
[9]  
HSIANG WY, 1982, J DIFFER GEOM, V17, P337
[10]  
Jellett M.J.-H., 1853, J MATH PURE APPL, V18, P163