The Isoperimetric Problem in Higher Codimension

2012/03/15 by Morgan, Frank, Salavessa, Isabel M. C. · 1 citation
#49Q10 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1203.3304

Abstract

We consider three generalizations of the isoperimetric problem to higher codimension and provide results on equilibrium, stability, and minimization.

Cited by

• Multiplicity of solutions for Gross-Pitaevskii equations on Riemannian manifolds

Related

• The isoperimetric inequality
• Isoperimetric inequalities in high-dimensional convex sets
• Higher codimension relative isoperimetric inequality outside a convex set
• More on functional and quantitative versions of the isoperimetric inequality
• A Selection Principle for the Sharp Quantitative Isoperimetric Inequality