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

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

2007-03-12

arxiv.org/abs/math/0703327v1

Mathematics

Differential Geometry

Scientific paper

We establish area bounds for two-dimensional immersions in R^3 and R^n.
Namely, for \mu-stable immersions in R^3 (R^n), for graphs in $\mathbb R^3$
which solve quasilinear equations in divergence form, and for graphs which are
critical for Fermat-type variational problems in R^n.

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