SO(2)-INVARIANT MINIMAL AND CONSTANT MEAN-CURVATURE SURFACES IN 3-DIMENSIONAL HOMOGENEOUS SPACES

被引:26
作者
CADDEO, R [1 ]
PIU, P [1 ]
RATTO, A [1 ]
机构
[1] UBO, DEPT MATH, F-29275 BREST, FRANCE
关键词
D O I
10.1007/BF02570457
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study SO(2)-invariant minimal and constant mean curvature surfaces in R(3) endowed with a homogeneous Riemannian metric whose group of isometries has dimension greater or Equal to 4.
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页码:1 / 12
页数:12
相关论文
共 8 条
  • [1] Bekkar M., 1992, REND SEM MAT U POL T, V50, P243
  • [2] Bekkar M., 1991, REND SEM FS U CAGLIA, V61, P123
  • [3] Bianchi L., 1928, LEZIONI TEORIA GRUPP
  • [4] CARTAN E, 1946, LECONS GEOMETRIE ESP
  • [5] EELLS J, 1993, ANN MATH STUD, P1
  • [6] HSIANG WY, 1982, J DIFFER GEOM, V17, P337
  • [7] PIU P, 1988, THESIS U HAUTE ALSAC
  • [8] Vranceanu G., 1957, LECONS GEOMETRIE DIF, VI