Constant Mean Curvature Surfaces in M2 (c) x R and Finite Total Curvature

被引：0
|
作者：
Batista, Marcio [1 ]
Cavalcante, Marcos P. [1 ]
Fetcu, Dorel [2 ]
机构：
[1] Univ Fed Alagoas, Inst Math, BR-57072970 Maceio, AL, Brazil
[2] Gh Asachi Tech Univ Iasi, Dept Math & Informat, Bd Carol I 11, Iasi 700506, Romania
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2017年 / 27卷 / 04期
关键词：
Constant mean curvature surfaces; Surfaces with parallelmean curvature; Surfaces with finite total curvature; HYPERSURFACES; HOPF;
D O I：
10.1007/s12220-017-9795-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider surfaces with parallel mean curvature vector field and finite total curvature in product spaces of typeM(n) (c) x R, whereM(n) (c) is a space form and characterize certain of these surfaces. When n = 2, our results are similar to those obtained in Berard et al. (Ann Glob Anal Geom 16(3): 273-290, 1998) for surfaces with constant mean curvature in space forms.
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页码：3071 / 3084
页数：14
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