Free Boundary Minimal Surfaces in the Unit Ball With Low Cohomogeneity

We study free boundary minimal surfaces in the unit ball of low cohomogeneity. For each pair of positive integers \((m,n)\) such that \(m, n >1\) and \(m+n\geq 8\), we construct a free boundary minimal surface \(\Sigma_{m, n} \subset B^{m+n}\)(1) invariant under \(O(m)\times O(n)\). When \(m+n

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Bibliographic Details
Published in:arXiv.org 2016-01
Main Authors: Freidin, Brian, Gulian, Mamikon, McGrath, Peter
Format: Article
Language:English
Subjects:
Free boundaries
Integers
Invariants
Minimal surfaces
Stability
Toruses
Online Access:Get full text
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Summary:We study free boundary minimal surfaces in the unit ball of low cohomogeneity. For each pair of positive integers \((m,n)\) such that \(m, n >1\) and \(m+n\geq 8\), we construct a free boundary minimal surface \(\Sigma_{m, n} \subset B^{m+n}\)(1) invariant under \(O(m)\times O(n)\). When \(m+n
ISSN:2331-8422