Area estimates for two-dimensional immersions of mean curvature type in Euclidean spaces of higher codimension

2007/03/12 by Steffen Froehlich, Froehlich, Steffen
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #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/0703327

arxiv created 2007/03/12 · arxiv updated 2009/12/01

Abstract

We establish area bounds for two-dimensional immersions in R³ and Rⁿ. Namely, for μ-stable immersions in R³ (Rⁿ), for graphs in \mathbb R³ which solve quasilinear equations in divergence form, and for graphs which are critical for Fermat-type variational problems in Rⁿ.

Citations

• Curvature estimates for minimal hypersurfaces

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