Higher order mean curvature estimates for complete hypersurfaces into horoballs

被引：0
|
作者：
Cunha, A. W. [1 ]
Medeiros, A. [2 ]
机构：
[1] Univ Fed Piaui, Dept Matemat, BR-64049550 Teresina, Piaui, Brazil
[2] Univ Fed Paraiba, Dept Matemat, BR-58059900 Joao Pessoa, Paraiba, Brazil
来源：
ACTA MATHEMATICA HUNGARICA | 2015年 / 147卷 / 01期
关键词：
higher order mean curvature; maximum principle; bounded hyper-surface; trace type operator; RIEMANNIAN-MANIFOLDS; MAXIMUM PRINCIPLE; SPHERES; FORM;
D O I：
10.1007/s10474-015-0536-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider properly immersed two-sided hypersurfaces such that is contained in a horoball of N, where N satisfies fairly weak curvature bounds and we prove higher order mean curvature estimates that are natural extensions of the estimates obtained by Alias, Dajczer and Rigoli in [3] and Albanese, Alias and Rigoli in [1]. We show that these ambient curvature bounds in the presence of the properness of guarantees that M satisfies a general version of the weak maximum principle established by Albanese, Alias and Rigoli in [1].
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收藏
页码：19 / 31
页数：13
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