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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Published in:arXiv.org 2016-01
Main Authors: Freidin, Brian, Gulian, Mamikon, McGrath, Peter
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Free boundaries
Integers
Invariants
Minimal surfaces
Stability
Toruses
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description 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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subjects Free boundaries
Integers
Invariants
Minimal surfaces
Stability
Toruses
title Free Boundary Minimal Surfaces in the Unit Ball With Low Cohomogeneity
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