On 2-surfaces in R^4 and R^n

Abstract

In this overview report we generalize Erhard Heinz' curvature estimate for minimal graphs in R^3 to graphs in R^n of prescribed mean curvature. Secondly, we analyse these problems in the frame of the outer differential geometry which leads us to the notions of normal torsion and normal curvature for immersions in R^4.

Added remarks and references

References in corpus (2)

• Stability and curvature estimates for minimal graphs with flat normal bundles
• Mean curvature flow with flat normal bundles

Cited by in corpus (3)

• mu-Stability of 2-immersions of prescribed mean curvature and flat normal bundle in Euclidean spaces of higher codimension
• Area estimates for two-dimensional immersions of mean curvature type in Euclidean spaces of higher codimension
• Lectures on normal Coulomb frames in the normal bundle of twodimensional immersionen of higher codimension