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.

引用

页码：3071 / 3084

页数：14

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