Global Properties of Biconservative Surfaces in R3 and S3

被引:0
|
作者
Nistor, Simona [1 ]
Oniciuc, Cezar [2 ]
机构
[1] Alexandru Ioan Cuza Univ, Fac Math, Res Dept, Bd Carol I 11, Iasi 700506, Romania
[2] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol I 11, Iasi 700506, Romania
关键词
Biconservative surfaces; complete surfaces; mean curvature function; real space forms; minimal surfaces;
D O I
10.24064/iwts2016.2017.1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We survey some recent results on biconservative surfaces in 3-dimensional space forms N-3(c) with a special emphasis on the c = 0 and c = 1 cases. We study the local and global properties of such surfaces, from extrinsic and intrinsic point of view. We obtain all non-CMC complete biconservative surfaces in R-3 and S-3.
引用
收藏
页码:30 / 56
页数:27
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