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.
机构:
Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA
Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R ChinaUniv Notre Dame, Dept Math, Notre Dame, IN 46556 USA