mu-Stability of 2-immersions of prescribed mean curvature and flat normal bundle in Euclidean spaces of higher codimension

2007/01/22 by Steffen Froehlich, Froehlich, Steffen
Mathematics · Physics and Astronomy · #35J60 #53A07 #53A10 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.AP #math.DG #msc:35J60 #msc:53A07 #msc:53A10

paper · pdf · doi:10.48550/arxiv.math/0701604

arxiv created 2007/01/22 · openalex publication_date 2007/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present three ways to establish general stability inequalities for various classes of 2-immersions in Euclidean spaces of higher codimension

Citations

• On 2-surfaces in R⁴ and Rⁿ
• Curvature estimates for minimal hypersurfaces

Related

• Area estimates for two-dimensional immersions of mean curvature type in Euclidean spaces of higher codimension
• On stable hypersurfaces with constant mean curvature in Euclidean spaces
• On the stability of constant higher mean curvature hypersurfaces in a Riemannian manifold
• Submanifolds with constant Moebius curvature and flat normal bundle
• A note on area estimates for stable H-hypersurfaces and applications