Isoperimetric domains of large volume in homogeneous three-manifolds期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Isoperimetric domains of large volume in homogeneous three-manifolds

Authors:	William H. Meeks III,Pablo Mira,Joaquí n Pé rez,Antonio Ros

Affiliation:	1. Mathematics Department, University of Massachusetts, Amherst, MA 01003, United States;2. Department of Applied Mathematics and Statistics, Universidad Politécnica de Cartagena, E-30203 Cartagena, Murcia, Spain;3. Department of Geometry and Topology, University of Granada, 18001 Granada, Spain

Abstract:	Given a non-compact, simply connected homogeneous three-manifold X and a sequence _{_Ω_n_}_n ${Ω_{n}}_{n}$ of isoperimetric domains in X with volumes tending to infinity, we prove that, as n→∞ $n \to \infty$ : (1) The radii of the _Ω_n $Ω_{n}$ tend to infinity.

Keywords:	primary, 53A10 secondary, 49Q05, 53C42
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