STABILITY RESULTS FOR ROTATIONALLY INVARIANT CONSTANT MEAN CURVATURE SURFACES IN HYPERBOLIC SPACE

被引:2
作者
Jleli, Mohamed [1 ]
机构
[1] King Saud Univ, Dept Math, Riyadh, Saudi Arabia
关键词
mean curvature; surfaces;
D O I
10.4064/cm126-2-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove the existence of many constant mean curvature surfaces of revolution with two ends which are immersed or embedded in hyperbolic space. We also study their stability.
引用
收藏
页码:269 / 280
页数:12
相关论文
共 14 条
[1]  
[Anonymous], 2002, TOPOLOGY GEOMETRY CO
[2]  
BARBOSA JL, 1998, SEMINAIRE THEORIE SP, V16, P43
[3]   Index growth of hypersurfaces with constant mean curvature [J].
Bérard, P ;
de Lima, LL ;
Rossman, W .
MATHEMATISCHE ZEITSCHRIFT, 2002, 239 (01) :99-115
[4]  
Bryant R L, 1987, ASTERISQUE, V154, P341
[5]  
CRANDALL MG, 1973, ARCH RATION MECH AN, V52, P161, DOI 10.1007/BF00282325
[6]  
Delaunay C., 1841, J. Math. Pures Appl, V6, P309
[7]  
HSIANG WY, 1981, J DIFFER GEOM, V16, P161
[8]  
Jleli M, 2009, ADV NONLINEAR STUD, V9, P243
[9]  
Jleli M, 2009, ADV NONLINEAR STUD, V9, P29
[10]  
Kenmotsu K., 1980, Tohoku Math. J, V32, P147, DOI [10.2748/tmj/1178229688, DOI 10.2748/TMJ/1178229688]