CONSTANT MEAN CURVATURE SURFACES IN SOL WITH NON-EMPTY BOUNDARY

被引：0

作者：

Lopez, Rafael ^{[1
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2012年 / 38卷 / 04期

关键词：

Homogeneous space; mean curvature; flux formula; tangency principle; Alexandrov reflection method;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In homogenous space Sol we study compact surfaces with constant mean curvature and with non-empty boundary. We ask how the geometry of the boundary curve imposes restrictions over all possible configurations that the surface can adopt. We obtain a flux formula and we establish results that assert that, under some restrictions, the surface inherits the symmetry of its boundary.

引用

页码：1091 / 1105

页数：15

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